Full opinion text
RONEY, Circuit Judge, with whom Judges TJOFLAT, JAMES C. HILL, FAY, VANCE, ALBERT J. HENDERSON and R. LANIER ANDERSON, III, join : This case was taken en banc principally to consider the argument arising in numerous capital cases that statistical proof shows the Georgia capital sentencing law is being administered in an unconstitutionally discriminatory and arbitrary and capricious matter. After a lengthy evidentiary hearing which focused on a study by Professor David C. Baldus, the district court concluded for a variety of reasons that the statistical evidence was insufficient to support the claim of unconstitutionality in the death sentencing process in Georgia. We affirm the district court’s judgment on this point. The en banc court has considered all the other claims involved on this appeal. On the State’s appeal, we reverse the district court’s grant of habeas corpus relief on the claim that the prosecutor failed to disclose a promise of favorable treatment to a state witness in violation of Giglio v. United States, 405 U.S. 150, 92 S.Ct. 763, 31 L.Ed.2d 104 (1972). We affirm the judgment denying relief on all other points raised by the defendant, that is: (1) that defendant received ineffective assistance of counsel; (2) that jury instructions contravened the due process clause in violation of Sandstrom v. Montana, 442 U.S. 510, 99 S.Ct. 2450, 61 L.Ed.2d 39 (1979); and (3) that the exclusion of death-scrupled jurors violated the right to an impartial and unbiased jury drawn from a representative cross-section of the community. Thus, concluding that the district court should have denied the petition for writ of habeas corpus, we affirm on all claims denied by the court, but reverse the grant of habeas corpus relief on the Giglio claims. FACTS Warren MeCleskey was arrested and charged with the murder of a police officer during an armed robbery of the Dixie Furniture Store. The store was robbed by a band of four men. Three entered through the back door and one through the front. While the men in the rear of the store searched for cash, the man who entered through the front door secured the showroom by forcing everyone there to lie face down on the floor., Responding to a silent alarm, a police officer entered the store by the front door. Two shots were fired. One shot struck the police officer in the head causing his death. The other glanced off a cigarette lighter in his chest pocket. MeCleskey was identified by two of the store personnel as the robber who came in the front door. Shortly after his arrest, MeCleskey confessed to participating in the robbery but maintained that he was not the triggerman. MeCleskey confirmed the eyewitness’ accounts that it was he who entered through the front door. One of his accomplices, Ben Wright, testified that MeCleskey admitted to shooting the officer. A jail inmate housed near MeCleskey testified that MeCleskey made a “jail house confession” in which he claimed he was the triggerman. The police officer was killed by a bullet fired from a .38 caliber Rossi handgun. MeCleskey had stolen a .38 caliber Rossi in a previous holdup. PRIOR PROCEEDINGS The jury convicted MeCleskey of murder and two counts of armed robbery. At the penalty hearing, neither side called any witnesses. The State introduced documentary evidence of McCleskey’s three prior convictions for armed robbery. The jury sentenced MeCleskey to death for the murder of the police officer and to consecutive life sentences for the two counts of armed robbery. These convictions and sentences were affirmed by the Georgia Supreme Court. McClesky v. State, 245 Ga. 108, 263 S.E.2d 146, cert. denied, 449 U.S. 891, 101 S.Ct. 253, 66 L.Ed.2d 119 (1980). MeCleskey then petitioned for habeas corpus relief in state court. This petition was denied after an evidentiary hearing. The Georgia Supreme Court denied McCleskey’s application for a certificate of probable cause to appeal. The United States Supreme Court denied a petition for a writ of certiorari. MeCleskey v. Zant, 454 U.S. 1093, 102 S.Ct. 659, 70 L.Ed.2d 631 (1981). MeCleskey then filed his petition for ha-beas corpus relief in federal district court asserting, among other things, the five constitutional challenges at issue on this appeal. After an evidentiary hearing and consideration of extensive memoranda filed by the parties, the district court entered the lengthy and detailed judgment from which these appeals are taken. MeCleskey v. Zant, 580 F.Supp. 338 (N.D.Ga.1984). This opinion addresses each issue asserted on appeal in the following order: (1) the Giglio claim, (2) constitutionality of the application of Georgia’s death penalty, (3) effective assistance of counsel, (4) death-qualification of jurors, and (5) the Sand-strom issue. GIGLIO CLAIM The district court granted habeas corpus relief to MeCleskey because it determined that the state prosecutor failed to reveal that one of its witnesses had been promised favorable treatment as a reward for his testimony. The State violates due process when it obtains a conviction through the use of false evidence or on the basis of a witness’s testimony when that witness has failed to disclose a promise of favorable treatment from the prosecution. Giglio v. United States, 405 U.S. 150, 92 S.Ct. 763, 31 L.Ed.2d 104 (1972). We hold that (1) there was no promise in this case, as contemplated by Giglio; and (2) in any event, had there been a Giglio violation, it would be harmless. Thus, we reverse the grant of habeas corpus relief on this ground. Offie Gene Evans, a prisoner incarcerated with McCleskey, was called by the State on rebuttal to strengthen its proof that McCleskey was the triggerman at the holdup. Evans testified that McCleskey admitted to him in jail that he shot the policeman and that McCleskey said he had worn makeup to disguise his appearance during the robbery. The “Promise ” At McCleskey’s state habeas corpus hearing, Evans gave the following account of certain conversations with state officials. THE COURT: Mr. Evans, let me ask you a question. At the time that you testified in Mr. McCleskey’s trial, had you been promised anything in exchange for your testimony? THE WITNESS: No, I wasn’t. I wasn’t promised nothing about — I wasn’t promised nothing by the D.A. but the Detective told me that he would — he said he was going to do it himself, speak a word for me. That was what the Detective told me. Q: (by McCleskey’s attorney): The Detective said he would speak a word for you? A: Yeah. A deposition of McCleskey’s prosecutor that was taken for the state habeas corpus proceeding reveals that the prosecutor contacted federal authorities after McCles-key’s trial to advise them of Evans’ cooperation and that the escape charges were dropped. The Trial Testimony At the trial, the State brought out on direct examination that Evans was incarcerated on the charge of escape from a federal halfway house. Evans denied receiving any promises from the prosecutor and downplayed the seriousness of the escape charge. Q: [by prosecutor]: Mr. Evans, have I promised you anything for testifying today? A: No, sir, you ain’t. Q: You do have an escape charge still pending, is that correct? A: Yes, sir. I’ve got one, but really it ain’t no escape, what the peoples out there tell me, because something went wrong out there so I just went home. I stayed at home and when I called the man and told him that I would be a little late coming in, he placed me on escape charge and told me there wasn’t no use of me coming back, and I just stayed on at home and he come and picked me up. Q: Are you hoping that perhaps you won’t be prosecuted for that escape? A: Yeah, I hope I don’t, but I don’t— what they tell me, they ain’t going to charge me with escape no way. Q: Have you asked me to try to fix it so you wouldn’t get charged with escape? A: No, sir. Q: Have I told you I would try to fix it for you? A: No, sir. The State Habeas Corpus Decision The state court rejected McCleskey’s Giglio claim on the following reasoning: Mr. Evans at the habeas hearing denied that he was promised anything for his testimony. He did state that he was told by Detective Dorsey that Dorsey would ‘speak a word’ for him. The detective’s ex parte communication recommendation alone is not sufficient to trigger the applicability of Giglio v. United States, 405 U.S. 150 [92 S.Ct. 763, 31 L.Ed.2d 104] (1972). The prosecutor at petitioner’s trial, Russel J. Parker, stated that he was unaware of any understandings between Evans and any Atlanta Police Department detectives regarding a favorable recommendation to be made on Evans’ federal escape charge. Mr. Parker admitted that there was opportunity for Atlanta detectives to put in a good word for Evans with federal authorities. However, he further stated that when any police officer has been killed and someone ends up testifying for the State, putting his life in danger, it is not surprising that charges, like those against Evans, will be dropped. In the absence of any other evidence, the Court cannot conclude an agreement existed merely because of the subsequent disposition of criminal charges against a witness for the State. Although it is reasonable to conclude that the state court found that there was no agreement between Evans and the prosecutor, no specific finding was made as to Evans’ claim that a detective promised to “speak a word for him.” The court merely held as a matter of law that assuming Evans was telling the truth, no Giglio violation had occurred. Was It a Promise? The Supreme Court’s rationale for imposing this rule is that “[t]he jury’s estimate of the truthfulness and reliability of a given witness may well be determinative of guilt or innocence.” Napue v. Illinois, 360 U.S. 264, 269, 79 S.Ct. 1173, 1177, 3 L.Ed.2d 1217 (1959). The Court has never provided definitive guidance on when the Government’s dealings with a prospective witness so affect the witness’ credibility that they must be disclosed at trial. In Giglio, a prosecutor promised the defendant’s alleged co-conspirator that no charges would be brought against him if he testified against the defendant. In Napue, a prosecutor promised a witness that in exchange for his testimony the prosecutor would recommend that the sentence the witness was presently serving be reduced. In this case, the detective’s promise to speak a word falls far short of the understandings reached in Giglio and Napue. As stated by this Court, “[t]he thrust of Giglio and its progeny has been to ensure that the jury know the facts that might motivate a witness in giving testimony.” Smith v. Kemp, 715 F.2d 1459, 1467 (11th Cir.), cert. denied, — U.S.—, 104 S.Ct. 510, 78 L.Ed.2d 699 (1983). The detective’s statement offered such a marginal benefit, as indicated by Evans, that it is doubtful it would motivate a reluctant witness, or that disclosure of the statement would have had any effect on his credibility. The State’s nondisclosure therefore failed to infringe McCleskey’s due process rights. Was Any Violation Harmless? In any event, there is no “reasonable likelihood” that the State’s failure to disclose the detective’s cryptic statement or Evans’ different escape scenario affected the judgment of the jury. See Giglio, 405 U.S. at 154, 92 S.Ct. at 766. Evans’ credibility was exposed to substantial impeachment even without the detective’s statement and the inconsistent description of his escape. The prosecutor began his direct examination by having Evans recite a litany of past convictions. Evans admitted to convictions for forgery, two burglaries, larceny, carrying a concealed weapon, and theft from the United States mail. On cross examination, McCleskey’s attorney attempted to portray Evans as a “professional criminal”. Evans also admitted that he was testifying to protect himself and one of McCleskey’s codefendants. In light of this substantial impeachment evidence, we find it unlikely that the undisclosed information would have affected the jury’s assessment of Evans’ credibility. See United States v. Anderson, 574 F.2d 1347, 1356 (5th Cir.1978). McCleskey claims Evans’ testimony was crucial because the only other testimony which indicated he pulled the trigger came from his codefendant, Ben Wright. Ben Wright’s testimony, McCleskey urges, would have been insufficient under Georgia law to convict him without the corroboration provided by Evans. In Georgia, an accomplice’s testimony alone in felony cases is insufficient to establish a fact. O.C.G.A. § 24-4-8. Wright’s testimony, however, was corroborated by McCleskey’s own confession in which McCleskey admitted participation in the robbery. See Arnold v. State, 236 Ga. 534, 224 S.E.2d 386, 388 (1976). Corroboration need not extend to every material detail. Blalock v. State, 250 Ga. 441, 298 S.E.2d 477, 479-80 (1983); Cofer v. State, 166 Ga.App. 436, 304 S.E.2d 537, 539 (1983). The district court thought Evans’ testimony critical because of the information he supplied about makeup and McCleskey’s intent in shooting the police officer. Although we agree that his testimony added weight to the prosecution’s case, we do not find that it could “in any reasonable likelihood have affected the judgment of the jury.” Giglio, 405 U.S. at 154, 92 S.Ct. at 766 (quoting Napue v. Illinois, 360 U.S. at 271, 79 S.Ct. at 1178). Evans, who was called only in rebuttal, testified that McCleskey had told him that he knew he had to shoot his way out, and that even if there had been twelve policemen he would have done the same thing. This statement, the prosecutor argued, showed malice. In his closing argument, however, the prosecutor presented to the jury three reasons supporting a conviction for malice murder. First, he argued that the physical evidence showed malicious intent because it indicated that McCleskey shot the police officer once in the head and a second time in the chest as he lay dying on the floor. Second, the prosecutor asserted that McCleskey had a choice, either to surrender or to kill the officer. That he chose to kill indicated malice. Third, the prosecutor contended that McCleskey’s statement to Evans that he still would have shot his way out if there had been twelve police officers showed malice. This statement by McCles-key was not developed at length during Evans’ testimony and was mentioned only in passing by the prosecutor in closing argument. Evans’ testimony that McCleskey had made up his face corroborated the identification testimony of one of the eyewitnesses. Nevertheless, this evidence was not crucial to the State’s case. That McCles-key was wearing makeup helps to establish he was the robber who entered the furniture store through the front door. This fact had already been directly testified to by McCleskey’s accomplice and two eyewitnesses as well as corroborated by McCles-key’s own confession. That Evans’ testimony buttresses one of the eyewitnesses’ identifications is relatively unimportant. Thus, although Evans’ testimony might well be regarded as important in certain respects, the corroboration of that testimony was such that the revelation of the Giglio promise would not reasonably affect the jury’s assessment of his credibility and therefore would have had no effect on the jury’s decision. The district court’s grant' of habeas corpus relief on this issue must be reversed. CONSTITUTIONAL APPLICATION OF GEORGIA’S DEATH PENALTY In challenging the constitutionality of the application of Georgia’s capital statute, McCleskey alleged two related grounds for relief: (1) that the “death penalty is administered arbitrarily, capriciously, and whimsically in the State of Georgia,” and (2) it “is imposed ... pursuant to a pattern and practice ... to discriminate on the grounds of race,” both in violation of the Eighth and Fourteenth Amendments of the Constitution. The district court granted petitioner’s motion for an evidentiary hearing on his claim of system-wide racial discrimination under the Equal Protection Clause of the Fourteenth Amendment. The court noted that “it appears ... that petitioner’s Eighth Amendment argument has been rejected by this Circuit in Spinkellink v. Wainwright, 578 F.2d 582, 612-14 (5th Cir.1978) ... [but] petitioner’s Fourteenth Amendment claim may be appropriate for consideration in the context of statistical evidence which the petitioner proposes to present.” Order of October 8, 1982, at 4. An evidentiary hearing was held in August, 1983. Petitioner's case in chief was presented through the testimony of two expert witnesses, Professor David C. Bal-dus and Dr. George Woodworth, as well as two principal lay witnesses, Edward Gates and L.G. Warr, an official employed by Georgia Board of Pardons and Paroles. The state offered the testimony of two expert witnesses, Dr. Joseph Katz and Dr. Roger Burford. In rebuttal, petitioner recalled Professor Baldus and Dr. Wood-worth, and presented further expert testimony from Dr. Richard Berk. In a comprehensive opinion, reported at 580 F.Supp. 338, the district court concluded that petitioner failed to make out a prima facie case of discrimination in sentencing based on either the race of victims or the race of defendants. The Court discounted the disparities shown by the Bal-dus study on the ground that the research (1) showed substantial flaws in the data base, as shown in tests revealing coding errors and mismatches between items on the Procedural Reform Study (PRS) and Comprehensive Sentencing Study (CSS) questionnaires; (2) lacked accuracy and showed flaws in the models, primarily because the models do not measure decisions based on knowledge available to decision-maker and only predicts outcomes in 50 percent of the cases; and (3) demonstrated multi-collinearity among model variables, showing interrelationship among the variables and consequently distorting relationships, making interpretation difficult. The district court further held that even if a prima facie case had been established, the state had successfully rebutted the showing because: (1) the results were not the product of good statistical methodology, (2) other explanations for the study results could be demonstrated, such as, white victims were acting as proxies for aggravated cases and that black-victim cases, and (3) black-victim cases, being left cases, and (3) black-victim cases being left behind at the life sentence and voluntary manslaughter stages, are less aggravated and more mitigated than the white-victim cases disposed of in similar fashion. The district court concluded that petitioner failed to carry his ultimate burden of persuasion, because there is no consistent statistically significant evidence that the death penalty is being imposed on the basis of the race of defendant. In particular there was no statistically significant evidence produced to show that prosecutors are seeking the death penalty or juries are imposing the death penalty because the defendant is black or the victim is white. Petitioner conceded that the study is incapable of demonstrating that he was singled out for the death penalty because of the race of either himself or his victim, and, therefore, petitioner failed to demonstrate that racial considerations caused him to receive the death penalty. We adopt the following approach in addressing the argument that the district court erred in refusing to hold that the Georgia statute is unconstitutionally applied in light of the statistical evidence. First, we briefly describe the statistical Baldus study that was done in this case. Second, we discuss the evidentiary value such studies have in establishing the ultimate facts that control a constitutional decision. Third, we discuss the constitutional law in terms of what must be proved in order for petitioner to prevail on an argument that a state capital punishment law is unconstitutionally applied because of race discrimination. Fourth, we discuss whether a generalized statistical study such as this could ever be sufficient to prove the allegations of ultimate fact necessary to sustain a successful constitutional attack on a defendant’s sentence. Fifth, we discuss whether, this study is valid to prove what it purports to prove. Sixth, we decide that this particular study, assuming its validity and that it proves what it claims to prove, is insufficient to either require or support a decision for petitioner. In summary, we affirm the district court on the ground that, assuming the validity of the research, it would not support a decision that the Georgia law was being unconstitutionally applied, much less would it compel such a finding, the level which petitioner would have to reach in order to prevail on this appeal. The Baldus Study The Baldus study analyzed the imposition of sentence in homicide cases to determine the level of disparities attributable to race in the rate of the imposition of the death sentence. In the first study, Procedural Reform Study (PRS), the results revealed no race-of-defendant effects whatsoever, and the results were unclear at that stage as to race-of-victim effects. The second study, the Charging and Sentencing Study (CSS), consisted of a random stratified sample of all persons indicted for murder from 1973 through 1979. The study examined the cases from indictment through sentencing. The purpose of the study was to estimate racial effects that were the product of the combined effects of all decisions from the point of indictment to the point of the final death-sentencing decision, and to include strength of the evidence in the cases. The study attempted to control for all of the factors which play into a capital crime system, such as aggravating circumstances, mitigating circumstances, strength of evidence, time period of imposition of sentence, geographical areas (urban/rural), and race of defendant and victim. The data collection for these studies was exceedingly complex, involving cumbersome data collection instruments, extensive field work by multiple data collectors and sophisticated computer coding, entry and data cleaning processes. Baldus and Woodworth completed a multitude of statistical tests on the data consisting of regression analysis, indexing factor analysis, cross tabulation, and triangulation. The results showed a 6% racial effect systemwide for white victim, black defendant cases with an increase to 20% in the mid-range of cases. There was no suggestion that a uniform, institutional bias existed that adversely affected defendants in white victim cases in all circumstances, or a black defendant in all cases. The object of the Baldus study in Fulton County, where McCleskey was convicted, was to determine whether the sentencing pattern disparities that were observed statewide with respect to race of the victim and race of defendant were pertinent to Fulton County, and whether the evidence concerning Fulton County shed any light on Warren McCleskey’s death sentence as an aberrant death sentence, or whether racial considerations may have played a role in the disposition of his case. .Because there were only ten cases involving police officer victims in Fulton County, statistical analysis could not be utilized effectively. Baldus conceded that it was difficult to draw any inference concerning the overall race effect in these cases because there had only been one death sentence. He concluded that based on the data there was only a possibility that a racial factor existed in McCleskey’s case. Social Science Research Evidence To some extent a broad issue before this Court concerns the role that social science is to have in judicial decisionmaking. Social science is a broad-based field consisting of many specialized discipline areas, such as psychology, anthropology, economics, political science, history and sociology. Cf. Sperlich, Social Science Evidence and the Courts: Reaching Beyond the Advisory Process, 63 Judicature 280, 283 n. 14 (1980). Research consisting of parametric and nonparametric measures is conducted under both laboratory controlled situations and uncontrolled conditions, such as real life observational situations, throughout the disciplines. The broad objectives for social science research are to better understand mankind and its institutions in order to more effectively plan, predict, modify and enhance society’s and the individual’s circumstances. Social science as a nonex-act science is always mindful that its research is dealing with highly complex behavioral patterns and institutions that exist in a highly technical society. At best, this research “models” and “reflects” society and provides society with trends and information for broad-based generalizations. The researcher’s intent is to use the conclusions from research to predict, plan, describe, explain, understand or modify. To utilize conclusions from such research to explain the specific intent of a specific behavioral situation goes beyond the legitimate uses for such research. Even when this research is at a high level of exactness, in design and results, social scientists readily admit their steadfast hesitancies to conclude such results can explain specific behavioral actions in a certain situation. The judiciary is aware of the potential limitations inherent in such research: (1) the imprecise nature of the discipline; (2) the potential inaccuracies in presented data; (3) the potential bias of the researcher; (4) the inherent problems with the methodology; (5) the specialized training needed to assess and utilize the data competently, and (6) the debatability of the appropriateness for courts to use empirical evidence in decisionmaking. Cf Henry, Introduction: A Journey into the Future— The Role of Empirical Evidence in Developing Labor Law, 1981 U.Ill.L.Rev. 1, 4; Sperlich, 63 Judicature at 283 n. 14. Historically, beginning with “Louis Bran-déis’ use of empirical evidence before the Supreme Court ... persuasive social science evidence has been presented to the courts.” Forst, Rhodes & Wellford, Sentencing and Social Science: Research for the Formulation of Federal Guidelines, 7 Hofstra L.Rev. 355 (1979). See Muller v. Oregon, 208 U.S. 412, 28 S.Ct. 324, 52 L.Ed. 551 (1908); Brown v. Board of Education, 347 U.S. 483, 74 S.Ct. 686, 98 L.Ed. 873 (1954). The Brandéis, brief presented social facts as corroborative in the judicial decisionmaking process. O’Brien, Of Judicial Myths, Motivations and Justifications: A Postscript on Social Science and the Law, 64 Judicature 285, 288 (1981). The Brandéis brief “is a well-known technique for asking the court to take judicial notice of social facts.” Sperlich, 63 Judicature at 280, 285 n. 31. “It does not solve the problem of how to bring valid scientific materials to the attention of the court____ Brandéis did not argue that the data were valid, only that they existed____ The main contribution ... was to make extra-legal data readily available to the court.” Id. This Court has taken a position that social science research does play a role in judicial decisionmaking in certain situations, even in light of the limitations of such research. Statistics have been used primarily in cases addressing discrimination. Statistical analysis is useful only to show facts. In evidentiary terms, statistical studies based on correlation are circumstantial evidence. They are not direct evidence. Teamsters v. United States, 431 U.S. 324, 340, 97 S.Ct. 1843, 1856, 52 L.Ed.2d 396 (1977). Statistical studies do not purport to state what the law is in a given situation. The law is applied to the facts as revealed by the research. In this case the realities examined, based on a certain set of facts reduced to data, were the descriptive characteristics and numbers of persons being sentenced to death in Georgia. Such studies reveal, as circumstantial evidence through their study analyses and results, possible, or probable, relationships that may exist in the realities studied. The usefulness of statistics obviously depends upon what is attempted to be proved by them. If disparate impact is sought to be proved, statistics are more useful than if the causes of that impact must be proved. Where intent and motivation must be proved, the statistics have even less utility. This Court has said in discrimination cases, however, “that while statistics alone usually cannot establish intentional discrimination, under certain limited circumstances they might.” Spencer v. Zant, 715 F.2d 1562, 1581 (11th Cir.1983), on pet. for reh’g and for reh’g en banc, 729 F.2d 1293 (11th Cir.1984). See also Eastland v. Tennessee Valley Authority, 704 F.2d 613, 618 (11th Cir.1983); Johnson v. Uncle Ben’s, Inc., 628 F.2d 419, 421 (5th Cir.1980), cert. denied, 459 U.S. 967, 103 S.Ct. 293, 74 L.Ed.2d 277 (1982). These limited circumstances are where the statistical evidence of racially disproportionate impact is so strong as to permit no inference other than that the results are the product of a racially discriminatory intent or purpose. See Smith v. Balkcom, 671 F.2d 858 (5th Cir. Unit B), cert. denied, 459 U.S. 882, 103 S.Ct. 181, 74 L.Ed.2d 148 (1982). Statistical evidence has been received in two ways. The United States Supreme Court has simply recognized the existence of statistical studies and social science research in making certain decisions, without such studies being subject to the rigors of an evidentiary hearing. Muller v. Oregon, 208 U.S. 412, 28 S.Ct. 324, 52 L.Ed. 551 (1908); Fowler v. North Carolina, 428 U.S. 904, 96 S.Ct. 3212, 49 L.Ed.2d 1212 (1976); Woodson v. North Carolina, 428 U.S. 280, 96 S.Ct. 2978, 49 L.Ed.2d 944 (1976); Jurek v. Texas, 428 U.S. 262, 96 S.Ct. 2950, 49 L.Ed.2d 929 (1976); Proffitt v. Florida, 428 U.S. 242, 96 S.Ct. 2960, 49 L.Ed.2d 913 (1976); Gregg v. Georgia, 428 U.S. 153, 96 S.Ct. 2909, 49 L.Ed.2d 859 (1976). The “Supreme Court, for example, encountered severe criticism and opposition to its rulings on desegregation of public schools, the exclusionary rule, and the retroactivity of its decisions, precisely because the court relied on empirical generalization.” O’Brien, The Seduction of the Judiciary: Social Science and the Courts, 64 Judicature 8,19 (1980). In each of these situations the Court “focused” beyond the specifics of the case before it to the “institutions” represented and through a specific ruling effected changes in the institutions. On the other hand, statistical evidence may be presented in the trial court through direct testimony and cross-examination on statistical information that bears on an issue. Such evidence is examined carefully and subjected to the tests of relevancy, authenticity, probativeness and credibility. Cf. Henry, 1981 U.Ill.L.Rev. at 8. One difficulty with statistical evidence is that it may raise more questions than it answers. This Court reached that conclusion in Wilkins v. University of Houston, 654 F.2d 388 (5th Cir. Unit A 1981). In Wilkins this Court held that “[mjultiple regression analysis is a relatively sophisticated means of determining the effects that any number of different factors have on a particular variable.” Id. at 402-03. This Court noted that the methodology “is subject to misuse and thus must be employed with great care.” Id. at 403. Procedurally, when multiple regression is used “it will be the subject of expert testimony and knowledgeable cross-examination from both sides. In this manner, the validity of the model and the significance of its results will be fully developed at trial, allowing the trial judge to make an informed decision as to the probative value of the analysis.” Id. Having done this, the Wilkins Court, in an employment discrimination case, held “the statistical evidence associated with the multiple regression analysis is inconclusive, raising more questions than it answers.” Id. Even if the statistical evidence is strong there is generally a need for additional evidence. In Wade v. Mississippi Cooperative Extension Serv., 528 F.2d 508 (5th Cir.1976), the results drawn from the multivariate regression analysis were supported by additional evidence. Id. at 517. In Wade the statistics did not “stand alone” as the sole proof of discrimination. Much has been written about the relationship of law and social science. “If social science cannot produce the required answers, and it probably cannot, its use is likely to continue to lead to a disjointed incrementalism.” Daniels, Social Science And Death Penalty Cases, 1 Law & Pol’y Q. 336, 367 (1979). “Social science can probably make its greatest contribution to legal theory by investigating the causal forces behind judicial, legislative and administrative decisionmaking and by probing the general effects of such decisions.” Na-gel, Law And The Social Sciences: What Can Social Science Contribute?, 356 A.B. A.J. 356, 357-58 (1965). With these observations, this Court accepts social science research for what the social scientist should claim for it. As in all circumstantial evidence cases, the inferences to be drawn from the statistics are for the factfinder, but the statistics are accepted to show the circumstances. Racial Discrimination, the Death Penalty, and the Constitution McCleskey contends his death sentence is unconstitutional because Georgia’s death penalty is discriminatorily applied on the basis of the race of the defendant and the victim. Several different constitutional bases for this claim have been asserted. McCleskey relies on the arbitrary, capricious and irrational components of the prohibition of cruel and unusual punishment in the Eighth Amendment and the equal protection clause of the Fourteenth Amendment. The district court thought that with respect to race-of-the-victim discrimination the petitioner more properly stated a claim under the due process clause of the Fourteenth Amendment. Claims of this kind are seldom asserted with a degree of particularity, and they generally assert several constitutional precepts. On analysis, however, there seems to be little difference in the proof that might be required to prevail under any of the three theories. In Furman v. Georgia, 408 U.S. 238, 92 S.Ct. 2726, 33 L.Ed.2d 346 (1972), the Supreme Court struck down the Georgia death penalty system on Eighth Amendment grounds, with several of the concurring justices holding that the system operated in an arbitrary and capricious manner because there was no rational way to distinguish the few cases in which death was imposed from the many in which it was not. Id. at 313, 92 S.Ct. at 2764 (White, J., concurring); id. at 309-10, 92 S.Ct. at 2762-63 (Stewart, J. concurring). Although race discrimination in the imposition of the death penalty was not the basis of the decision, it was one of several concerns addressed in both the concurring and dissenting opinions. See id. at 249-52, 92 S.Ct. at 2731-33 (Douglas, J. concurring); id. at 309-10, 92 S.Ct. at 2762-63 (Stewart, J. concurring); id. at 364-65, 92 S.Ct. at 2790-91 (Marshall, J., concurring); id. at 389-90 n. 12, 92 S.Ct. at 2803-04 n. 12 (Burger, C.J., dissenting); id. at 449, 92 S.Ct. at 2833 (Powell, J., dissenting). Four years later, the Supreme Court approved the redrawn Georgia statute pursuant to which McCleskey was tried and sentenced. Gregg v. Georgia, 428 U.S. 153, 96 S.Ct. 2909, 49 L.Ed.2d 859 (1976). At the same time the Court approved statutes from Florida and Texas which, like Georgia, followed a guided discretion approach, but invalidated the mandatory sentencing procedure of North Carolina and Louisiana. Proffitt v. Florida, 428 U.S. 242, 96 S.Ct. 2960, 49 L.Ed.2d 913 (1976); Jurek v. Texas, 428 U.S. 262, 96 S.Ct. 2950, 49 L.Ed.2d 929 (1976); Woodson v. North Carolina, 428 U.S. 280, 96 S.Ct. 2978, 49 L.Ed.2d 944 (1976); Roberts v. Louisiana, 428 U.S. 325, 96 S.Ct. 3001, 49 L.Ed.2d 974 (1976). Since Gregg, we have consistently held that to state a claim of racial discrimination in the application of a constitutional capital statute, intent and motive must be alleged. Sullivan v. Wainwright, 721 F.2d 316, 317 (11th Cir.1983) (statistical impact studies insufficient to show state system “intentionally discriminated against petitioner”), petition for stay of execution denied, 464 U.S. 109, 104 S.Ct. 450, 78 L.Ed.2d 210 (1983); Adams v. Wainwright, 709 F.2d 1443, 1449 (11th Cir.1983) (requiring “a showing of an intent to discriminate” or “evidence of disparate impact ... so strong that the only permissible inference' is one of intentional discrimination”), cert. denied, — U.S. —104 S.Ct. 745, 79 L.Ed.2d 203 (1984); Smith v. Balkcom, 671 F.2d 858, 859 (5th Cir.Unit B) (requiring “circumstantial or statistical evidence of racially disproportionate impact ... so strong that the results permit no other inference but that they are the product of a racially discriminatory intent or purpose”), cert. denied, 459 U.S. 882, 103 S.Ct. 181, 74 L.Ed.2d 148 (1982). Initially in Spinkellink v. Wainwright, 578 F.2d 582 (5th Cir.1978), cert. denied, 440 U.S. 976, 99 S.Ct. 1548, 59 L.Ed.2d 796 (1979), the Court rejected Eighth and Fourteenth Amendment claims that the Florida death penalty was being applied in a discriminatory fashion on the basis of the victim’s race. The Spinkellink Court read Gregg and its companion cases “as holding that if a state follows a properly drawn statute in'imposing the death penalty, then the arbitrariness and capriciousness — and therefore the racial discrimination condemned in Furman — have been conclusively removed.” Id. at 613-14. Spinkellink can not be read to foreclose automatically all Eighth Amendment challenges to capital sentencing conducted under a facially constitutional statute. In Godfrey v. Georgia, 446 U.S. 420,100 S.Ct. 1759, 64 L.Ed.2d 398 (1980), the Supreme Court sustained an Eighth Amendment challenge to a Georgia death sentence because the Georgia court’s construction of a portion of that facially valid statute left no principled way to distinguish the cases where the death penalty was imposed from those in which it was not. See Proffitt v. Wainwright, 685 F.2d 1227, 1261 n. 52 (11th Cir.1982). Nevertheless, neither Godfrey nor Proffitt undermines this Court’s prior and subsequent pronouncements in Spinkellink, Smith, Adams, and Sullivan regarding the amount of disparate impact that must be shown under either an Eighth Amendment or equal protection analysis. As the district court here pointed out, such a standard indicates an analytical nexus between Eighth Amendment claims and a Fourteenth Amendment equal protection claim. McCleskey v. Zant, 580 F.Supp. 338, 347 (N.D.Ga.1984). Where an Eighth Amendment claim centers around generalized showings of disparate racial impact in capital sentencing, such a connection is inescapable. Although conceivably the level or amount of disparate racial impact that would render a state’s capital sentencing system arbitrary and capricious under the Eighth Amendment might differ slightly from the level or amount of disparate racial impact that would compel an inference of discriminatory intent under the equal protection clause of the Fourteenth Amendment, we do not need to decide whether there could be a difference in magnitude that would lead to opposite conclusions on a system’s constitutionality depending on which theory a claimant asserts. A successful Eighth Amendment challenge would require proof that the race factor was operating in the system in such a pervasive manner that it could fairly be said that the system was irrational, arbitrary and capricious. For the same reasons that the Baldus study would be insufficient to demonstrate discriminatory intent or unconstitutional discrimination in the Fourteenth Amendment context, it would be insufficient to show irrationality, arbitrariness and capriciousness under any kind of Eighth Amendment analysis. The district court stated that were it writing on a clean slate, it would characterize McCleskey’s claim as a due process claim. The court took the position that McCleskey’s argument, while couched in terms of “arbitrary and capricious,” fundamentally contended that the Georgia death penalty was applied on the basis of a morally impermissible criterion: the race of the victim. The district court’s theory derives some support from the Supreme Court’s decision in Zant v. Stephens, 462 U.S. 862, 103 S.Ct. 2733, 77 L.Ed.2d 235 (1983). The Court there recognized that a state may not attach the “aggravating” label as an element in capital sentencing to factors that are constitutionally impermissible or totally irrelevant to the sentencing process, such as race. If that were done, the Court said, “due process would require that the jury’s decision to impose death be set aside.” Id. 462 U.S. at —, 103 S.Ct. at 2747, 77 L.Ed.2d at 255. From this language it is clear that due process would prevent a state from explicitly making the murder of a white victim an aggravating circumstance in capital sentencing. But where the statute is facially neutral, a due process claim must-be supported by proof that a state, through its prosecutors, jurors, and judges, has implicitly attached the aggravating label to race. Even if petitioner had characterized his claim as one under the due process clause, it would not have altered the legal standard governing the showing he must make to prevail. The application of the due process clause is “an uncertain enterprise which must discover what ‘fundamental fairness’ consists of in a particular situation by first considering any relevant precedents and then by assessing the several interests that are at stake.” Lassiter v. Department of Social Services, 452 U.S. 18, 24-25, 101 S.Ct. 2153, 2158-2159, 68 L.Ed.2d 640 (1981). Due process also requires the assessment of the risk that the procedures being used will lead to erroneous decisions. Mathews v. Eldridge, 424 U.S. 319, 335, 96 S.Ct. 893, 903, 47 L.Ed.2d 18 (1976). Where a due process claim requires a court to determine whether the race of the victim impermissibly affected the capital sentencing process, decisions under the equal protection clause, characterized as “central to the Fourteenth Amendment’s prohibition of discriminatory action by the State,” Rose v. Mitchell, 443 U.S. 545, 554-55, 99 S.Ct. 2993, 2999-3000, 61 L.Ed.2d 739 (1979), are certainly “relevant precedents” in the assessment of the risk of erroneous decisions. Thus, as in the equal protection context, the claimant under a due process theory must present evidence which establishes that in the capital sentencing process race “is a motivating factor in the decision.” Village of Arlington Heights v. Metropolitan Housing Development Corp., 429 U.S. 252, 266, 97 S.Ct. 555, 563, 50 L.Ed.2d 450 (1977). Due process and cruel and unusual punishment cases do not normally focus on the intent of the governmental actor. But where racial discrimination is claimed, not on the basis of procedural faults or flaws in the structure of the law, but on the basis of' the decisions made within that process, then purpose, intent and motive are a natural component of the proof that discrimination actually occurred. The Supreme Court has clearly held that to prove a constitutional claim of racial discrimination in the equal protection context, intent, purpose, and motive are necessary components. Washington v. Davis, 426 U.S. 229, 238-42, 96 S.Ct. 2040, 2046-49, 48 L.Ed.2d 597 (1976). A showing of a disproportionate impact alone is not sufficient to prove discriminatory intent unless no other reasonable inference can be drawn. Arlington Heights, 429 U.S. at 264-66, 97 S.Ct. at 562-64. This Circuit has consistently applied these principles of law. Adams v. Wainwright, 709 F.2d 1443, 1449 (11th Cir.1983), cert. denied, — U.S. —, 104 S.Ct. 745, 79 L.Ed.2d 203 (1984); Sullivan v. Wainwright, 721 F.2d 316, 317 (11th Cir.1983). We, therefore, hold that proof of a disparate impact alone is insufficient to invalidate a capital sentencing system, unless that disparate impact is so great that it compels a conclusion that the system is unprincipled, irrational, arbitrary and capricious such that purposeful discrimination— i.e., race is intentionally being used as a factor in sentencing — can be presumed to permeate the system. Generalized Statistical Studies and the Constitutional Standard The question initially arises as to whether any statewide study suggesting a racial disparity in the application of a state’s death penalty could ever support a constitutional attack on a defendant’s sentence. The answer lies in whether the statistical study is sufficient evidence of the ultimate fact which must be shown. In Smith v. Balkcom, 671 F.2d 858, 859 (5th Cir.Unit B), cert. denied, 459 U.S. 882, 103 S.Ct. 181, 74 L.Ed.2d 148 (1982), this Court said: In some instances, circumstantial or statistical evidence of racially disproportionate impact may be so strong that the results permit no other inference but that they are the product of a racially discriminatory intent or purpose. This statement has apparently caused some confusion because it is often cited as a proposition for \vhich it does not stand. Petitioner argues that his statistical study shows a strong inference that there is a disparity based on race. That is only the first step, however. The second step focuses on how great the disparity is. Once the disparity is proven, the question is whether-that disparity is sufficient to compel a conclusion that it results from discriminatory intent and purpose. The key to the problem lies in the principle that the proof, no matter how strong, of some disparity is alone insufficient. In Spinkellink v. Wainwright, 578 F.2d 582, 612 (5th Cir.1978), cert. denied, 440 U.S. 976, 99 S.Ct. 1548, 59 L.Ed.2d 796 (1979), the petitioner claimed the Florida statute was being applied in a discriminatory fashion against defendants murdering whites, as opposed to blacks, in violation of the cruel and unusual punishment and equal protection components of the Constitution. Evidence of this disparity was introduced through expert witnesses. The court assumed for sake of argument the accuracy of petitioner’s statistics but rejected the Eighth Amendment argument. The court rejected the equal protection argument because the disparity shown by petitioner’s statistics could not prove racially discriminatory intent or purpose as required by Washington v. Davis, 426 U.S. 229, 96 S.Ct. 2040, 48 L.Ed.2d 597 (1976), and Village of Arlington Heights v. Metropolitan Housing Development Corp., 429 U.S. 252, 97 S.Ct. 555, 50 L.Ed.2d 450 (1977). 578 F.2d at 614-16. In Adams v. Wainwright, 709 F.2d 1443 (11th Cir.1983), cert. denied, — U.S.—, 104 S.Ct. 745, 79 L.Ed.2d 203 (1984), the court, in denying an evidentiary hearing, accepted statistics which arguably tended to support the claim that the Florida death penalty was imposed disproportionately in cases involving white victims. The court then said: Disparate impact alone is insufficient to establish a violation of the fourteenth amendment. There must be a showing of an intent to discriminate____ Only if the evidence of disparate impact is so strong that the only permissible inference is one of intentional discrimination will it alone suffice. 709 F.2d at 1449 (citations omitted). Here again, in commenting on the strength of the evidence, the court was referring not to the amount or quality of evidence which showed a disparate impact, but the amount of disparate impact that would be so strong as to lead inevitably to a finding of motivation and intent, absent some other explanation for the disparity. In commenting on the proffer of the Bal-dus study in another case, Justice Powell wrote in dissent from a stay of execution pending en banc consideration of this case: If the Baldus study is similar to the several studies filed with us in Sullivan v. Wainwright, 464 U.S. 109, 104 S.Ct. 450,78 L.Ed.2d 210 (1983), the statistics in studies of this kind, many of which date as far back as 1948, are merely general statistical surveys that are hardly particularized with respect to any alleged “intentional” racial discrimination. Surely, no contention can be made that the entire Georgia judicial system, at all levels, operates to discriminate in all cases. Arguments to this effect may have been directed to the type of statutes addressed in Furman v. Georgia, 408 U.S. 238 [92 S.Ct. 2726, 33 L.Ed.2d 346] (1972). As our subsequent cases make clear, such arguments cannot be taken seriously under statutes approved in Gregg. Stephens v. Kemp, 464 U.S. 1027,1030, n. 2, 104 S.Ct. 562, 564 n. 2, 78 L.Ed.2d 370, 374 n. 2 (1984) (Powell, J., dissenting). The lesson from these and other cases must be that generalized statistical studies are of little use in deciding whether a particular defendant has been unconstitutionally sentenced to death. As to whether the system can survive constitutional attack, statistical studies at most are probative of how much disparity is present, but it is a legal question as to how much disparity is required before a federal court will accept it as evidence of the constitutional flaws in the system. This point becomes especially critical to a court faced with a request for an evidentia-ry hearing to produce future studies which will undoubtedly be made. Needless to say, an evidentiary hearing would be necessary to hear any evidence that a particular defendant was discriminated against because of his race. But general statistical studies of the kind offered here do not even purport to prove that fact. Aside from that kind of evidence, however, it would not seem necessary to conduct a full evi-dentiary hearing as to studies which do nothing more than show an unexplainable disparity. Generalized studies would appear to have little hope of excluding every possible factor that might make a difference between crimes and defendants, exclusive of race. To the extent there is a subjective or judgmental component to the discretion with which a sentence is invested, not only will no two defendants be seen identical by the sentencers, but no two sentencers will see a single case precisely the same. As the court has recognized, there are “countless racially neutral variables” in the sentencing of capital cases. Smith v. Balkcom, 671 F.2d at 859. This is not to recede from the general proposition that statistical studies may reflect a disparity so great as to inevitably lead to a conclusion that the disparity results from intent or motivation. As decided by this opinion, the Baldus studies demonstrate that the Georgia system does not contain the level of disparity required to meet that constitutional standard. Validity of the Baldus Study The social science research of Professor Baldus purports to reveal, through statistical analysis, disparities in the sentencing of black defendants in white victim cases in Georgia. A study is valid if it measures what it purports to measure. Different studies have different levels of validity. The level of the validity of the study is directly related to the degree to which the social scientist can rely on the findings of the study as measuring what it claims to measure. The district court held the study to be invalid because of perceived errors in the data base, the deficiencies in the models, and the multi-collinearity existing between the independent variables. We hold in this case that even if the statistical results are accepted as valid, the evidence fails to challenge successfully the constitutionality of the Georgia system. Because of this decision, it is not necessary for us to determine whether the district court was right or wrong in its faulting of the Baldus study. The district court undertook an extensive review of the research presented. It received, analyzed and dealt with the complex statistics. The district court is to be commended for its outstanding endeavor in the handling of the detailed aspects of this case, particularly in light of the consistent arguments being made in several cases based on the Baldus study. Any decision that the results of the Baldus study justify habeas corpus relief would have to deal with the district court’s findings as to the study itself. Inasmuch as social science research has been used by appellate courts in decisionmaking, Muller v. Oregon, 208 U.S. 412, 419-21, 28 S.Ct. 324, 325-26, 52 L.Ed. 551 (1908), and has been tested like other kinds of evidence at trial, see Spink-ellink v. Wainwright, 578 F.2d 582, 612-13 (5th Cir.1978), there is a question as to the standard of review of a trial court’s finding based on a highly complex statistical study. Findings of fact are reviewed under the clearly erroneous standard which the Supreme Court has defined as: “[a] finding is ‘clearly erroneous’ when although there is evidence to support it, the reviewing court on the entire evidence is left with the definite and firm conviction that a mistake has been committed.” United States v. United States Gypsum Co., 333 U.S. 364, 395, 68 S.Ct. 525, 542, 92 L.Ed. 746 (1948). Whether a disparate impact reflects an intent to discriminate is an ultimate fact which must be reviewed under the clearly erroneous standard. Pullman-Standard v. Swint, 456 U.S. 273, 102 S.Ct. 1781, 72 L.Ed.2d 66 (1982). In Pullman, the Supreme Court said that Fed.R.Civ.P. 52(a) does not make exceptions or purport to exclude certain categories of factual findings from the obligation of a court of appeals to accept a district court’s findings unless clearly erroneous. It does not divide facts into categories; in particular, it does not divide findings of fact into those that deal with ‘ultimate’ and those that deal with ‘subsidiary’ facts. 456 U.S. at 287, 102 S.Ct. at 1789. There would seem to be two levels of findings based on statistical evidence that must be reviewed: first, the finding concerning the validity of the study itself, and second, the finding of ultimate fact based upon the circumstantial evidence revealed by the study, if valid. The district court here found the study invalid. The court found the statistics of the study to be particularly troublesome in the areas of the data base, the models and the relationship between the independent variables. McCleskey v. Zant, 580 F.Supp. 338, 379 (N.D.Ga.1984). We pretermit a review of this finding concerning the validity of the study itself. The district court went on to hold that even if the statistics did validly reflect the Georgia system, the ultimate fact of intent to discriminate was not proven. We review this finding of fact by assuming the validity of the study and rest our holding on the decision that the study, even if valid, not only supports the district judge’s decision under the clearly erroneous standard of review, but compels it. Sufficiency of Baldus Study McCleskey argues that, although the post-Furman statute in Georgia now yields more predictable results, the race of the victim is a significant, but of course impermissible, factor which accounts for the imposition of the death penalty in many cases. He supports this argument with the sophisticated Baldus statistical study that, after controlling for the legitimate factors that might rationally explain the imposition of the penalty, purportedly reveals significant race-of-the-victim influence in the system; i.e., all other things being equal, white victim crimes are more likely to result in the penalty. Because the Constitution prohibits the consideration of racial factors as justification for the penalty, McCleskey asserts that the discernible racial influence on sentencing renders the operation of the Georgia system infirm. In addition, McCleskey asserts that the race-of-the-victim influence on the system is particularly significant in the range of cases involving intermediate levels of aggravation (mid-range aggravation cases). He argues that because his case fell within that range, he has established that impermissible racial considerations operated in his case. We assume without deciding that the Baldus study is sufficient to show what it purports to reveal as to the application of the Georgia death penalty. Baldus concluded that his study showed that systematic and substantial disparities existed in the penalties imposed upon homicide defendants in Georgia based on race of the homicide victim, that the disparities existed at a less substantial rate in death sentencing based on race of defendants, and that the factors of race of the victim and defendant were at work in Fulton County. A general comment about the limitations on what the Baldus study purports to show, although covered in the subsequent discussion, may be helpful. The Baldus study statistical evidence does not purport to show that McCleskey was sentenced to death because of either his race or the race of his victim. It only shows that in a group involving blacks and whites, all of whose cases are virtually the same, there would be more blacks receiving the death penalty than whites and more murderers of whites receiving the death penalty than murderers of blacks. The statisticians’ “best guess” is that race was a factor in those cases and has a role in sentencing structure in Georgia. These general statements about the results are insufficient to make a legal determination. An analysis must be made as to how much disparity is actually shown by the research. Accepting the Baldus figures, but not the general conclusion, as accurately reflecting the Georgia experience, the statistics are inadequate to entitle McCleskey to relief on his constitutional claim. The Georgia-based retrospective study consisted of a stratified random sample of 1,066 cases of individuals indicted for murder-death, murder-life and voluntary manslaughter who were arrested between March 28, 1973 and December 31, 1978. The data were compiled from a 41-page questionnaire and consisted of more than 500,000 entries. Through complex statistical analysis, Baldus examined relationships between the dependent variable, death-sentencing rate, and independent variables, nine aggravating and 75 mitigating factors, while controlling for background factors. In 10% of the cases a penalty trial was held, and in 5% of the cases defendants were sentenced to death. The study subjects the Georgia data to a multitude of statistical analyses, and under each method there is a statistically significant race-of-the-victim effect operating statewide. It is more difficult, however, to ascertain the magnitude of the effect demonstrated by the Baldus study. The simple, unadjusted figures show that death sentences were imposed in 11% of the white victim cases potentially eligible for the death penalty, and in 1% of the eligible black victim cases. After controlling for various legitimate factors that could explain the differential, Baldus still concluded that there was a significant race-of-the-victim effect. The result of Baldus’ most conclusive model, on which McCleskey primarily relies, showed an effect of .06, signifying that on average a white victim crime is 6% more likely to result in the sentence than a comparable black victim crime. Bal-dus also provided tables that showed the race-of-the-victim effect to be most significant in cases involving intermediate levels of aggravation. In these cases, on average, white victim crimes were shown to be 20% more likely to result in the death penalty than equally aggravated black victim crimes. None of the figures mentioned above is a definitive quantification of the influence of the victim’s race on the overall likelihood of the death penalty in a given case. Nevertheless, the figures all serve to enlighten us somewhat on how the system operates. The 6% average figure is a composite of all cases and contains both low aggravation cases, where the penalty is almost never imposed regardless of the victim’s race, and high aggravation cases, where both white and black victim crimes are likely to result in the penalty. When this figure is related to