Question

* For chi-square test, independent t-test, paired t-test, ANOVA, Repeated Measures ANOVA, and correlation, describe the inferential statistics and what levels of measurement are needed.
* For SPSS output #1, what is the inferential statistic performed and determine whether the analysis was statistically significant? Given the research study objective why was this test chosen?
* For SPSS output #2, what is the inferential statistic performed and determine whether the analysis was statistically significant? Given the research study objective why was this test chosen?

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The Analysis of Inferential Statistics and Levels of Measurement in Some Parametric and Nonparametric Tests

For the chi-square test the inferential statistic is χ2 value, and it is used for hypothesis testing part of inferential statistics. It is a bivariate nonparametric statistical test. This test is used to test differences in proportions in contingency tables between observed and expected frequencies for two or more independent groups. For this test the measurement level for both independent and dependent variable is nominal or ordinal with few categories (Polit & Beck, 2014).

For independent t-test the inferential statistic is t score. It is used for comparing differences in means between two independent groups. T- test is a bivariate parametric test. For this test the measurement level for independent variable is nominal and for dependent variable is interval or ratio level (Polit & Beck, 2014)....

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