Solutions Statistics

People in the aerospace industry believe the cost of a space project is a function of the weight of

Question: Use a non parametric test to see whether current salaries (variable salnow) for clerical employees differ from the four gender/race groups (variable sexrace.) compare your results from those from a parametric analysis. Summarize your conclusions.

Kruskal-Wallis Test

Ranks
	SEX & RACE CLASSIFICATION	N	Mean Rank
CURRENT SALARY	WHITE MALES	194	329.23
	MINORITY MALES	64	244.55
	WHITE FEMALES	176	163.64
	MINORITY FEMALES	40	106.28
	Total	474

Test Statistics^a,b
	CURRENT SALARY
Chi-Square	175.068
df	3
Asymp. Sig.	.000
a. Kruskal Wallis Test
b. Grouping Variable: SEX & RACE CLASSIFICATION

ANOVA
CURRENT SALARY
	Sum of Squares	df	Mean Square	F	Sig.
Between Groups	5.688E9	3	1.896E9	54.405	.000
Within Groups	1.638E10	470	3.485E7
Total	2.207E10	473

Post Hoc Tests

Multiple Comparisons
CURRENT SALARY Bonferroni
(I) SEX & RACE CLASSIFICATION	(J) SEX & RACE CLASSIFICATION	Mean Difference (I-J)	Std. Error	Sig.	95% Confidence Interval
(I) SEX & RACE CLASSIFICATION	(J) SEX & RACE CLASSIFICATION	Mean Difference (I-J)	Std. Error	Sig.	Lower Bound	Upper Bound
WHITE MALES	MINORITY MALES	4891.727^*	850.965	.000	2637.12	7146.34
	WHITE FEMALES	7107.449^*	614.521	.000	5479.29	8735.60
	MINORITY FEMALES	8565.165^*	1025.109	.000	5849.17	11281.16
MINORITY MALES	WHITE MALES	-4891.727^*	850.965	.000	-7146.34	-2637.12
	WHITE FEMALES	2215.722	861.692	.063	-67.31	4498.75
	MINORITY FEMALES	3673.438^*	1189.843	.013	520.98	6825.89
WHITE FEMALES	WHITE MALES	-7107.449^*	614.521	.000	-8735.60	-5479.29
	MINORITY MALES	-2215.722	861.692	.063	-4498.75	67.31
	MINORITY FEMALES	1457.716	1034.031	.956	-1281.92	4197.35
MINORITY FEMALES	WHITE MALES	-8565.165^*	1025.109	.000	-11281.16	-5849.17
	MINORITY MALES	-3673.438^*	1189.843	.013	-6825.89	-520.98
	WHITE FEMALES	-1457.716	1034.031	.956	-4197.35	1281.92
*. The mean difference is significant at the 0.05 level.