The randomized response technique (RRT) attempts to reduce social desirability bias in self-reports by creating a probabilistic relationship between the response given and the question posed. The multi-item RRT extends the RRT procedure to scales composed of multiple items. The multi-item RRT reduces the added variability contributed by the procedure and affords more accurate estimates of parameters than does a single-item RRT. Formulas are presented for correcting the mean, standard deviation, and correlation coefficient for the procedure. Data are presented from a study (Jarman 1996) of male date rape to illustrate the application of the multi-item RRT. Those data show higher reports of rape-supportive attitudes, beliefs, and sexual aggression under RRT conditions.
Abul-Ela, Abdel-Latif A., Bernard G. Greenberg, and Daniel G. Horvitz .1967. ``A Multi-Proportions Randomized Response Model.''Journal of the American Statistical Association62:990-1008.
2.
Barksdale, William B.1971. ``New Randomized Response Techniques for Control of Non-sampling Errors in Surveys.'' Ph.D. dissertation, University of North Carolina, Chapel Hill.
3.
Böckenholt, Ulf. and Peter G.M. van der Heijden.2007. ``Item Randomized-Response Models for Measuring Noncompliance: Risk-Return Perceptions, Social Influences, and Self-Protective Responses.''Psychometrika72:245-62.
4.
Bourke, Patrick D.1984. ``Estimation of Proportions Using Symmetric Randomized Response Designs.''Psychological Bulletin96:166-72.
5.
Burt, Martha R.1980. ``Cultural Myths and Supports for Rape.''Journal of Personality and Social Psychology38:217-30.
6.
Chaudhuri, Arijit and Rahul Mukerjee.1988. Randomized Response: Theory and Techniques . New York: Marcel Dekker.
7.
Cronbach, Lee J.1951. ``Coefficient Alpha and the Internal Structure of Tests.''Psychometrika16:297-334.
8.
Daniel, Wayne W.1993. Collecting Sensitive Data by Randomized Response: An Annotated Bibliography. 2d ed. Atlanta : Georgia State University Business Press.
9.
Edgell, Stephen E., Samuel Himmelfarb, and Darrell J. Cira .1986. ``Statistical Efficiency of Using the Randomized Response Technique to Estimate Correlation.''Psychological Bulletin100:251-6.
10.
Fox, Jean-Paul.2005. ``Randomized Item Response Theory Models. ''Journal of Educational and Behavioral Statistics30:189-212.
11.
Fox, James A. and Paul E. Tracy .1984. ``Measuring Associations With Randomized Response.''Social Science Research13:188-97.
12.
---. 1986. Randomized Response: A Method for Sensitive Surveys. Beverly Hills, CA: Sage.
13.
Greenberg, Bernard G., Abdel-Latif A.Abul-Ela ,Walt R. Simmons, and Daniel G. Horvitz.1969. ``The Unrelated Question Randomized Response Model: Theoretical Framework.''Journal of the American Statistical Association64:520-39.
14.
Greenberg, Bernard G., Roy R. Kuebler, James R. Abernathy, and Daniel G. Horvitz .1971. ``Application of the Randomized Response Technique in Obtaining Quantitative Data.''Journal of the American Statistical Association66:243-50.
15.
Greendlinger, Virginia and Donn Byrne.1987. ``Coercive Sexual Fantasies of College Men as Predictors of Self-Reported Likelihood to Rape and Overt Sexual Aggression .'' Journal of Sex Research23:1-11.
16.
Himmelfarb, Samuel.1996. ``Symptoms of Depression as Measured by Direct Questioning and the Multi-Item Randomized Response Technique.''Department of Psychology, University of Louisville, KY. Unpublished data.
17.
---. 2004. A Bibliography of Research on the Randomized Response Technique. Louisville, KY: University of Louisville, Department of Psychology.
18.
Himmelfarb, Samuel and Stephen E. Edgell .1980. ``Additive Constants Model: A Randomized Response Technique for Eliminating Evasiveness to Quantitative Response Questions.''Psychological Bulletin87:525-30.
19.
Himmelfarb, Samuel and Carl Lickteig.1982. ``Social Desirability and the Randomized Response Technique.'' Journal of Personality and Social Psychology43:710-7.
20.
Horvitz, Daniel G., B.V. Shah, and Walt R. Simmons .1967. ``The Unrelated Question Randomized Response Model.'' Pp. 65-72 in Proceedings of the Social Statistics Section. Washington, DC: American Statistical Association.
21.
Jarman, Bonita J.1992. ``Racism and Social Desirability: Exploring the Multi-Item Randomized Response Technique.'' M.A. thesis, University of Louisville, KY.
22.
---. 1996. ``The Prevalence and Precedence of Socially Condoned Sexual Aggression Within a Dating Context as Measured by Direct Questioning and the Randomized Response Technique.'' Ph.D. dissertation, University of Louisville, KY.
23.
Kerkvliet, Joe.1994. ``Cheating by Economics Students: A Comparison of Survey Results.'' Journal of Economic Education25:121-33.
24.
Koss, Mary P. and Cheryl J. Oros.1982. ``Sexual Experiences Survey: A Research Instrument Investigating Sexual Aggression and Victimization.''Journal of Consulting and Clinical Psychology50:455-7.
25.
Kraemer, Helena C.1980. ``Estimation and Testing of Bivariate Association Using Data Generated by the Randomized Response Technique.''Psychological Bulletin87:304-8.
26.
Lensvelt-Mulders, Gerty J. L. M., Joop J. Hox, Peter G. M. van der Heijden, and Cora J. M. Maas.2005. ``Meta-Analysis of Randomized Response Research: Thirty-Five Years of Validation.''Sociological Methods & Research35:319-48.
27.
Levy, Kenneth J.1980. ``The Randomized Response Technique and Large Sample Tests Concerning the Parameters of a Multinomial Distribution.''Educational and Psychological Measurement40:701-7.
28.
Liu, P.T. and L.P. Chow.1976a. ``The Efficiency of the Multiple Trial Randomized Response Technique.'' Biometrics32:607-18.
29.
---. 1976b. ``A New Discrete Quantitative Randomized Response Model .'' Journal of the American Statistical Association71:72-3.
30.
Malamuth, Neil M.1981. ``Rape Proclivity Among Males.''Journal of Social Issues37:138-57.
31.
Nathan, Gad.1988. ``A Bibliography on Randomized Response: 1965-1987.''Survey Methodology14:331-46.
32.
Sandberg, Genell, Thomas L. Jackson, and Patricia Petretic-Jackson .1987. ``College Students' Attitudes Regarding Sexual Coercion and Aggression: Developing Educational and Preventive Strategies.''Journal of College Student Personnel28:302-11.
33.
Spence, Janet T., Robert Helmreich, and Joy Stapp.1973. ``A Short Version of the Attitudes Toward Women Scale (AWS).''Bulletin of Psychonomic Society2:219-20.
34.
Umesh, U.N., and Robert A. Peterson .1991. ``A Critical Evaluation of the Randomized Response Method: Applications, Validation, and Research Agenda.''Sociological Methods & Research20:104-38.
35.
van den Hout, Ardo and Peter G. M. van der Heijden.2004. ``The Analysis of Multivariate Misclassified Data With Special Attention to Randomized Response Data.''Sociological Methods & Research32:384-410.
36.
van der Heijden, Peter G. M. , Ger van Gils, Jan Bouts, and Joop J. Hox.2000. ``A Comparison of Randomized Response, Computer-Assisted Self-Interview, and Face-to-Face Direct Questioning.''Sociological Methods & Research28:505-37.
37.
Warner, Stanley L.1965. ``Randomized Response: A Survey Technique for Eliminating Evasive Answer Bias.''Journal of the American Statistical Association60:63-9.
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