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ERIC Number: ED440989
Record Type: Non-Journal
Publication Date: 2000-Apr-26
Pages: 61
Abstractor: N/A
Reference Count: N/A
Evaluating Univariate, Bivariate, and Multivariate Normality Using Graphical Procedures.
Burdenski, Thomas K., Jr.
This paper reviews graphical and nongraphical procedures for evaluating multivariate normality by guiding the reader through univariate and bivariate procedures that are necessary, but insufficient, indications of a multivariate normal distribution. A data set using three dependent variables for two groups provided by D. George and P. Mallery (1999) is used to analyze histograms, stem-and-leaf plots, box-and-whisker plots, kurtosis and skewness coefficients, Q-Q plots, the Shapiro-Wilk or Kolmogorov-Smirnov statistic, and bivariate scatterplots. A procedure programmed by B. Thompson (1990, 1997) is used to explore multivariate normality by plotting Mahalanobis distances against derived chi-square values in a scatterplot. Four appendixes contain Statistical Package for the Social Sciences (SPSS) commands for two study groups, the SPSS syntax for evaluating univariate and bivariate normality, and SPSS commands for a new dependent variable. (Contains 2 tables, 17 figures, and 39 references.) (Author/SLD)
Publication Type: Numerical/Quantitative Data; Reports - Descriptive; Speeches/Meeting Papers
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A