An Introduction to Logistic Regression Analysis and Reporting

Abstract The purpose of this article is to provide researchers, editors, and readers with a set of guidelines for what to expect in an article using logistic regression techniques. Tables, figures, and charts that should be included to comprehensively assess the results and assumptions to be verified are discussed. This article demonstrates the preferred pattern for the application of logistic methods with an illustration of logistic regression applied to a data set in testing a research hypothesis. Recommendations are also offered for appropriate reporting formats of logistic regression results and the minimum observation-to-predictor ratio. The authors evaluated the use and interpretation of logistic regression presented in 8 articles published in The Journal of Educational Research between 1990 and 2000. They found that all 8 studies met or exceeded recommended criteria.

[1]  京都教育大学教育学部附属教育実践総合センター,et al.  Journal of Educational Research , 1953 .

[2]  S. Siegel,et al.  Nonparametric Statistics for the Behavioral Sciences , 2022, The SAGE Encyclopedia of Research Design.

[3]  Laurence C. McGinn Nonparametric statistics for the behavioral sciences: by Sidney Siegel. 312 pages, 6 × 9 in. New York, McGraw-Hill Book Co., Inc., 1956. Price, $6.50 , 1957 .

[4]  Robert H. Riffenburgh,et al.  Linear Discriminant Analysis , 1960 .

[5]  Eric Berne,et al.  Analysis of relationships. , 1961 .

[6]  A. Basilevsky,et al.  Factor Analysis as a Statistical Method. , 1964 .

[7]  David R. Cox The analysis of binary data , 1970 .

[8]  W. R. Buckland Multivariate Statistics , 1973, Nature.

[9]  A. E. Maxwell,et al.  Factor Analysis as a Statistical Method. , 1964 .

[10]  B. Efron The Efficiency of Logistic Regression Compared to Normal Discriminant Analysis , 1975 .

[11]  S. J. Press,et al.  Choosing between Logistic Regression and Discriminant Analysis , 1978 .

[12]  S. Haberman Analysis of qualitative data , 1978 .

[13]  Graham K. Rand,et al.  Quantitative Applications in the Social Sciences , 1983 .

[14]  P. Cleary,et al.  The analysis of relationships involving dichotomous dependent variables. , 1984, Journal of health and social behavior.

[15]  Joel R. Levin,et al.  Multivariate statistics in the social sciences : a researcher's guide , 1985 .

[16]  Trond Petersen,et al.  A Comment on Presenting Results from Logit and Probit Models , 1985 .

[17]  David W. Hosmer,et al.  Applied Logistic Regression , 1991 .

[18]  N. Nagelkerke,et al.  A note on a general definition of the coefficient of determination , 1991 .

[19]  E L Grimes,et al.  Suicide and life-threatening behavior. , 1991, Suicide & life-threatening behavior.

[20]  Eric R. Ziegel,et al.  Analysis of Binary Data (2nd ed.) , 1991 .

[21]  Alfred DeMaris,et al.  Logit Modeling: Practical Applications , 1992 .

[22]  S. Meisels,et al.  Failure in Grade: Do Retained Students Catch Up?. , 1993 .

[23]  P. Vitale,et al.  Analysis for Determining Factors That Place Elementary Students at Risk , 1994 .

[24]  Linking work and domestic problems with police suicide. , 1994, Suicide & life-threatening behavior.

[25]  R. Tolman,et al.  Coordinated Community Intervention for Domestic Violence: The Effects of Arrest and Prosecution on Recidivism of Woman Abuse Perpetrators , 1995 .

[26]  Doris R. Entwisle,et al.  Children in Motion: School Transfers and Elementary School Performance , 1996 .

[27]  Thomas P. Ryan,et al.  Modern Regression Methods , 1996 .

[28]  H. Chuang High school youths' dropout and re-enrollment behavior , 1997 .

[29]  J. S. Long,et al.  Regression Models for Categorical and Limited Dependent Variables , 1997 .

[30]  Julia Smith Effects of Eighth-Grade Transition Programs on High School Retention and Experiences , 1997 .

[31]  E. Gruber,et al.  Secondary School, Family, and Educational Risk: Comparing American Indian Adolescents and Their Peers , 1998 .

[32]  J. A. Calvin Regression Models for Categorical and Limited Dependent Variables , 1998 .

[33]  R. McNeal High School Extracurricular Activities: Closed Structures and Stratifying Patterns of Participation , 1998 .

[34]  C. Mason,et al.  The Use of Epidemiological Methodology as a Means of Influencing Public Policy , 1999 .

[35]  Karen E. Diamond,et al.  Parents' Conceptions of Kindergarten Readiness: Relationships With Race, Ethnicity, and Development , 2000 .

[36]  S. Menard Coefficients of Determination for Multiple Logistic Regression Analysis , 2000 .

[37]  Jerry Trusty,et al.  High Educational Expectations and Low Achievement: Stability of Educational Goals Across Adolescence , 2000 .

[38]  S. Menard Applied Logistic Regression Analysis , 1996 .

[39]  J. C. Smart,et al.  Higher Education: Handbook of Theory and Research , 2001, Higher Education: Handbook of Theory and Research.

[40]  C. Y. Peng,et al.  Modeling categorical variables by logistic regression. , 2001, American journal of health behavior.

[41]  Tak-Shing Harry So,et al.  The Use and Interpretation of Logistic Regression in Higher Education Journals: 1988–1999 , 2002 .

[42]  C. Y. Peng,et al.  Logistic Regression Analysis and Reporting: A Primer , 2002 .

[43]  Tak-Shing Harry So,et al.  STATISTICAL SOFTWARE APPLICATIONS & REVIEW Modeling Strategies In Logistic Regression With SAS, SPSS, Systat, BMDP, Minitab, And STATA , 2002 .

[44]  Laura M. Koehly,et al.  Linear Discriminant Analysis Versus Logistic Regression: A Comparison of Classification Errors in the Two-Group Case , 2003 .