16. You are interested in students’ performance on a test of cognitive developme

Question

16.   You are interested in students’ performance on a test of cognitive development. In particular, you are concerned with differences between ethnic groups (white, black, Asian, Hispanic.) You administer a test called the Social Sciences Piagetian Inventory (SSPI) and conduct an analysis of the scores. (3 points)
a.   What are the independent variable(s) (IV) and dependent variable(s) (DV) in this study?
b.   What is the proper inferential statistical analysis for this study?
c.   The table below details the between-group differences in this study. Which groups are statistically significantly different from one another?

Multiple Comparisons SSPI Bonferrni 95% Confidence Interval Mean Difference ETHNICITY ETHNICITY (I-J) Std. Error Sig Lower Bound Upper Bound 3.553 2.737 464 3.553 .816 3.089* 2.737 816 2.273 464 3.089 2.273 474 551 .228 474 705 496 551 705 570 228 496 570 2.30 1.28 14 4.81 -2.68 4.40 -4.20 1.05 3.78 1.07 1.78 76 4.81 4.20 1.07 -2.30 1.05 1.78 1.28 2.68 76 White Black Hispanic Asian White Hispanic Asian .253 Black 1.000 Hispanic White Black Asian White Black Hispanic 1.000 Asian .253 4.40 3.78 *. The mean difference is significant at the 0.05 level

Explanation / Answer

a) independent variables - ethnic groups (white, black, Asian, Hispanic.)

dependent variable - cognitive development.

b)

he proper inferential statistical analysis for this study is ANOVA model

c) white and Asian ,black and Hispanic are not statistically significant as 0 is in between confidence interval

rest   white, black, Asian, Hispanic (white , black ), (white, Hispanic), (Asian, Hispanic),(Black Asian)) are

statistically significantly different from one another

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