SOCI 211 Lecture Notes - Lecture 3: Multivariate Analysis, Statistical Inference, Univariate

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Introduction: the elaboration model is one method for doing multivariate analysis. Multivariate analysis is first and foremost a logical rather than a mathematical operation. Mathematics is merely a convenient and efficient language for accomplishing the logical operations inherent in good data analysis. Statistics is the applied branch of mathematics especially appropriate to a variety of research analyses. Descriptive studies: statistical computations describing either the characteristics of a sample or the relationship among variables in a sample. There are 2 main purposes: data reduction: univariate analysis, frequency distribution (tabulation), graph, central tendency (mean, median, mode, dispersion (variance, standard deviation, range, measures of association: bivariate analysis and multivariate analysis (the elaboration. Model) pearson"s product-moment correlation (r), lambda ( ), gamma ( ), chi-square () Inferential statistics: permit social researchers to determine whether their findings can be generalized from their samples to the populations they represent. Inferential statistics goes beyond the mere description of data and the nature of association between variables.

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