Testing Equivalence in Communication Research: Theory and Application

REFERENCES

• Allen , M. , Preiss , R. W. , Gayle , B. M. and Burrell , N. 2002 . Interpersonal communication research: Advances through meta-analysis , Mahwah , NJ : Erlbaum .
   Google Scholar
• Allen , M. and Preiss , R. W. 1998 . Persuasion: Advances through meta-analysis , Creskill , NJ : Hampton Press .
   Google Scholar
• Anderson , S. and Hauck , W. W. 1983 . A new procedure for testing equivalence in comparative bioavailability and other clinical trials . Communications in Statistics—Theory and Methods , 12 : 2663 – 2692 . doi: 10.1080/03610928308828634
   Web of Science ®Google Scholar
• Anderson , C. A. and Bushman , B. J. 2002 . The effects of media violence on society . Science , 295 : 2377 – 2378 . doi: 10.1126/science.1070765
   PubMed Web of Science ®Google Scholar
• Anderson , C. A. , Lindsay , J. J. and Bushman , B. J. 1999 . Research in the psychological laboratory: Truth or triviality? . Current Directions in Psychological Science , 8 : 3 – 9 . doi: 10.1111/1467-8721.00002
   Web of Science ®Google Scholar
• Berger , R. L. and Hsu , J. C. 1996 . Bioequivalence trials, intersection-union tests and equivalence confidence sets . Statistical Science , 11 : 283 – 319 . doi: 10.1214/ss/1032280304
   Web of Science ®Google Scholar
• Blackwelder , W. C. 1982 . “Proving the null hypothesis” in clinical trials . Controlled Clinical Trials , 3 : 345 – 353 . doi: 10.1016/0197-2456(81)90059-3
   PubMedGoogle Scholar
• Boster , F. J. and Mongeau , P. 1984 . “ Fear-arousing persuasive messages ” . In Communication yearbook 8 , Edited by: Bostrom , R. N. and Westley , B. H. 330 – 375 . Newbury Park , CA : Sage .
   Google Scholar
• Cohen , J. 1988 . Statistical power analysis for the behavioral sciences , 2nd , Hillsdale , NJ : Erlbaum .
   Google Scholar
• Cumming , G. and Finch , S. 2001 . A primer on the understanding, use, and calculation of confidence intervals that are based on central and noncentral distributions . Educational and Psychological Measurement , 61 : 532 – 574 . doi: 10.1177/00131640121971374
   Web of Science ®Google Scholar
• Cumming , G. 2008 . Replication and p intervals: p values predict the future only vaguely, but confidence intervals do much better . Perspectives on Psychological Science , 3 : 286 – 300 . doi: 10.1111/j.1745-6924.2008.00079.x
   Web of Science ®Google Scholar
• Dienes , Z. 2011 . Bayesian versus orthodox statistics: Which side are you on? . Perspectives on Psychological Science , 6 ( 3 ) : 274 – 290 . doi: 10.1177/1745691611406920
   Web of Science ®Google Scholar
• Dillard , J. , Hunter , J. E. and Burgoon , M. 1984 . Sequential request persuasive strategies: Meta-analysis of foot-in-the-door and door-in-the-face . Human Communication Research , 10 : 461 – 488 . doi: 10.1111/j.1468-2958.1984.tb00028.x
   Web of Science ®Google Scholar
• Ferguson , C. J. 2007 . Evidence for publication bias in video game violence effects literature: A meta-analytic review . Aggression and Violent Behavior , 12 : 470 – 482 . doi: 10.1016/j.avb.2007.01.001
   Web of Science ®Google Scholar
• Frick , R. W. 1996 . The appropriate use of null hypothesis testing . Psychological Methods , 1 : 379 – 390 . doi: 10.1037//1082-989X.1.4.379
   Web of Science ®Google Scholar
• Garb , H. N. , Klein , D. F. and Grove , W. M. 2002 . Comparison of medical and psychological tests . American Psychologist , 57 : 137 – 138 . doi: 10.1037//0003-066X.57.2.137
   PubMed Web of Science ®Google Scholar
• Gauntlett , D. 2005 . Moving experiences: Media effects and beyond , 2nd , Eastleigh, UK: John Libbey Publishing .
   Google Scholar
• Gayle , B. M. , Preiss , R. W. , Burrell , N. and Allen , M. 2006 . Classroom communication and instructional processes: Advances through meta-analysis , Mahwah , NJ : Erlbaum .
   Google Scholar
• Gliner , J. A. , Leech , N. L. and Morgan , G. A. 2002 . Problems with null hypothesis significance testing (NHST): What do the textbooks say? . Journal of Experimental Education , 71 : 83 – 92 . doi: 10.1097/00004583-200102000-00021
   Web of Science ®Google Scholar
• Goertzen , J. R. and Cribbie , R. A. 2010 . Detecting a lack of association: An equivalence testing approach . British Journal of Mathematical and Statistical Psychology , 63 : 527 – 537 . doi: 10.1348/000711009X475853
   PubMed Web of Science ®Google Scholar
• Greenwald , A. G. 2012 . There is nothing so theoretical as a good method . Perspectives on Psychological Science , 7 ( 2 ) : 99 – 108 . doi: 10.1177/1745691611434210
   Web of Science ®Google Scholar
• Harlow , L. , Mulaik , S. A. and Steiger , J. H. 1997 . What if there were no significance tests? , New York , NY : Psychology Press .
   Google Scholar
• Hemphill , J. F. 2003 . Interpreting the magnitudes of correlation coefficients . American Psychologist , 58 ( 1 ) : 78 – 80 . doi: 10.1037/0003-066X.58.1.78
   PubMed Web of Science ®Google Scholar
• Hoffner , C. and Levine , K. 2005 . Enjoyment of mediated fright and violence: A meta-analysis . Media Psychology , 7 : 207 – 237 . doi: 10.1207/S1532785XMEP0702_5
   Web of Science ®Google Scholar
• Hyde , J. S. and Linn , M. C. 1986 . The psychology of gender: Advances through meta-analysis , Baltimore , MD : Johns Hopkins University Press .
   Google Scholar
• Kerr , N. L. 1998 . HARKing: Hypothesizing after the results are known . Personality and Social Psychology , 2 : 196 – 217 . doi: 10.1207/s15327957pspr0203_4
   Google Scholar
• Klemmert , H. 2004 . “ Äquivalenz- und Effekttests in der psychologischen Forschung. [Equivalence and effect tests in psychological research]. Frankfurt/Main ” . Germany : Lang .
   Google Scholar
• Kraemer , H. C. and Thiemann , S. 1987 . How many subjects? Statistical power analysis in research , Beverly Hills , CA : Sage .
   Google Scholar
• Krantz , D. H. 1999 . The null hypothesis testing controversy in psychology . Journal of the American Statistical Association , 44 : 1372 – 1381 . doi: 10.2307/2669949
   Web of Science ®Google Scholar
• Levine , T. R. , Weber , R. , Park , H. S. and Hullett , C. R. 2008 . A communication researchers' guide to null hypothesis significance testing and alternatives . Human Communication Research , 34 : 188 – 209 . doi: 10.1111/j.1468-2958.2008.00318.x
   Web of Science ®Google Scholar
• Levine , T. R. , Weber , R. , Hullett , C. R. , Park , H. S. and Lindsey , L. 2008 . A critical assessment of null hypothesis significance testing in quantitative communication research . Human Communication Research , 34 : 171 – 187 . doi: 10.1111/j.1468-2958.2008.00317.x
   Web of Science ®Google Scholar
• Linz , D. , Paul , B. and Yao , M. Z. 2006 . Peep show establishments, police activity, public place, and time: A study of secondary effects in San Diego, California . The Journal of Sex Research , 43 : 182 – 193 . doi: 10.1080/00224490609552315
   PubMed Web of Science ®Google Scholar
• Lunn , D. , Spiegelhalter , D. , Thomas , A. and Best , N. 2009 . The BUGS project: Evolution, critique and future directions . Statistics in Medicine , 28 : 3049 – 3067 . doi: 10.1002/sim.3680
   PubMed Web of Science ®Google Scholar
• Murphy , K. R. and Myors , B. 1999 . Testing the hypothesis that treatments have negligible effects: Minimum-effect tests in the general linear model . Journal of Applied Psychology , 84 : 234 – 248 . doi: 10.1037//0021-9010.84.2.234
   Web of Science ®Google Scholar
• Murphy , K. R. , Myors , B. and Wolach , A. 2009 . Statistical power analysis: A simple and general model for traditional and modern hypothesis tests , 3rd , New York , NY : Routledge .
   Google Scholar
• Muthusamy , N. , Levine , T. R. and Weber , R. 2009 . Scaring the already scared: Some problems with HIV/AIDS fear appeals in Africa . Journal of Communication , 59 : 317 – 344 . doi: 10.1111/j.1460-2466.2009.01418.x
   Web of Science ®Google Scholar
• O'Keefe , D. J. 2007 . Post hoc power, observed power, a priori power, retrospective power, prospective power, achieved power: Sorting out appropriate uses of statistical power analysis . Communication Methods and Measures , 1 : 291 – 299 . doi: 10.1080/19312450701641375
   Google Scholar
• O'Keefe , D. J. 2011 . The asymmetry of predictive and descriptive capabilities in quantitative communication research: Implications for hypothesis development and testing . Communication Methods and Measures , 5 ( 2 ) : 113 – 125 . doi: 10.1080/19312458.2011.568375
   Google Scholar
• Peterson , R. A. 2001 . On the use of college students in social science research: Insights from a second-order meta-analysis . Journal of Consumer Research , 28 : 250 – 261 . doi: 10.1086/323732
   Web of Science ®Google Scholar
• Preiss , R. W. , Gayle , B. M. , Burrell , N. , Allen , M. and Bryant , J. 2007 . Mass media effects research: Advances through meta-analysis , Mahwah , NJ : Erlbaum .
   Google Scholar
• Rains , S. A. 2007 . The anonymity effect: The influence of anonymity on perceptions of sources and information on health websites . Journal of Applied Communication Research , 35 : 197 – 214 . doi: 10.1080/00909880701262666
   Web of Science ®Google Scholar
• Rogers , J. L. , Howard , K. I. and Vessey , J. T. 1993 . Using significant tests to evaluate equivalence between two experimental groups . Psychological Bulletin , 113 : 553 – 565 . doi: 10.1037//0033-2909.113.3.553
   PubMed Web of Science ®Google Scholar
• Rozeboom , W. W. 1960 . The fallacy of the null hypothesis significance test . Psychological Bulletin , 57 : 416 – 428 . doi: 10.1037/h0042040
   PubMed Web of Science ®Google Scholar
• Rouder , J. N. , Speckman , P. L. , Sun , D. , Morey , R. D. and Iverson , G. 2009 . Bayesian t-tests for accepting and rejecting the null hypothesis . Psychonomic Bulletin and Review , 16 : 225 – 237 . doi: 10.3758/PBR.16.2.225
   PubMed Web of Science ®Google Scholar
• Schuirmann , D. J. 1987 . A comparison of the two one-sided tests procedure and the power approach for assessing equivalence of average bioavailability . Journal of Pharmacokinetics and Biopharmaceutics , 15 : 657 – 680 . doi: 10.1007/BF01068419
   PubMedGoogle Scholar
• Selwyn , M. R. and Hall , N. R. 1984 . On Bayesian methods for bioequivalence . Biometrics , 40 : 1103 – 1108 . doi: 10.2307/2531161
   PubMed Web of Science ®Google Scholar
• Sparks , G. G. 1991 . The relationship between distress and delight in males' and females' reactions to frightening films . Human Communication Research , 17 : 625 – 637 . doi: 10.1111/j.1468-2958.1991.tb00247.x
   Web of Science ®Google Scholar
• Stegner , B. L. , Bostrom , A. G. and Greenfield , T. K. 1996 . Equivalence testing for use in psychosocial and services research: An introduction with examples . Evaluation and Program Planning , 19 : 193 – 198 . doi: 10.1016/0149-7189(96)00011-0
   Web of Science ®Google Scholar
• Tepper , C. A. and Cassidy , K. W. 1999 . Gender differences in emotional language in children's picture books . Sex Roles , 40 : 265 – 280 . doi: 10.1023/A:1018803122469
   Web of Science ®Google Scholar
• Thompson , B. 2002 . What future quantitative social science research could look like: Confidence intervals for effect sizes . Educational Researcher , 31 : 24 – 31 . doi: 10.3102/0013189X031003025
   Google Scholar
• Tryon , W. W. 2001 . Evaluating statistical difference, equivalence, and indeterminacy using inferential confidence intervals: An integrated alternative method of conducting null hypothesis statistical tests . Psychological Methods , 6 : 371 – 386 . doi: 10.3102/1076998609332753
   PubMed Web of Science ®Google Scholar
• Tryon , W. W. and Lewis , C. 2008 . An inferential confidence interval method of establishing statistical equivalence that corrects Tryon's (2001) reduction factor . Psychological Methods , 13 : 272 – 278 . doi: 10.1037/a0013158
   PubMed Web of Science ®Google Scholar
• Wellek , S. 2003 . Testing statistical hypotheses of equivalence , Boca Raton , FL : CRC Press .
   Google Scholar
• Wellek , S. 2010 . Testing statistical hypotheses of equivalence and non-inferiority , 2nd , Boca Raton , FL : CRC Press .
   Google Scholar
• Westlake , W. J. 1981 . Bioequivalence testing—a need to rethink (reader reaction response) . Biometrics , 37 : 591 – 593 .
   Web of Science ®Google Scholar
• Witte , K. 1998 . “ Fear as motivator, fear as inhibitor: Using the extended parallel process model to explain fear appeal successes and failures ” . In Handbook of communication and emotion: Research, theory, applications, and contexts , Edited by: Andersen , P. A. and Guerrero , L. K. 423 – 450 . San Diego , CA : Academic Press .
   Google Scholar
• Witte , K. , Berkowitz , J. M. , Cameron , K. A. and McKeon , J. K. 1998 . Preventing the spread of genital warts: Using fear appeals to promote self-protective behaviors . Health Education & Behavior , 25 ( 5 ) : 571 – 585 . doi: 10.1177/109019819802500505
   PubMed Web of Science ®Google Scholar
• Witte , K. and Allen , M. 2000 . A meta-analysis of fear appeals: Implications for effective public health campaigns . Health Education & Behavior , 27 : 591 – 615 . doi: 10.1177/109019810002700506
   PubMed Web of Science ®Google Scholar
• Zillmann , D. , Weaver , J. B. , Mundorf , N. and Aust , C. F. 1986 . Effects of an opposite-gender companion's affect to horror on distress, delight and attraction . Journal of Personality and Social Psychology , 51 : 586 – 594 . doi: 10.1037//0022-3514.51.3.586
   Web of Science ®Google Scholar