Complete the following exercises in your course text Using SPSS for Windows and Macintosh:
Analyzing and Understanding Data, by Green and Salkind. Be sure to save your output and export it
to your Word document, in which you also must answer the analysis questions and present your
results section as indicated:
� Exercises 1�4 on p. 327, Chi-square test (Note: Use �Lesson 40 Exercise File 1.sav�)
� Exercises 1�4 on p. 343, Nonparametric procedures
Exercises 1�5 on p. 354, Nonparametric procedures.
SPSS Exercises
SPSS EXERCISES 2
327, Chi-square test
The hypothesis, in this case, is H 0 : the two samples are independent, versus, H a1 : the two
sample are dependent.
Table 1:
Chi-Square Tests
Value df Asymp. Sig.
(2-sided)
Pearson Chi-Square 96.000 a 4 .000
Likelihood Ratio 80.352 4 .000
Linear-by-Linear Association .047 1 .828
N of Valid Cases 48
a. 6 cells (66.7%) have expected count less than 5. The
minimum expected count is 1.02.
The chi-square critical value at (0.05, 4) = 9.488, the null hypothesis is rejected. Thus, the two
samples are dependent.
343, Nonparametric procedures
The Mann-Whitney U-test results are as summarized in Table 1 and Table 2. In this case, the
null hypothesis to be tested is H 0 : The two samples come from the same distribution, versus,
H a1 : the two sample do not come from the same distribution.
SPSS EXERCISES 3
Table 2:
Test Statisticsa
time
(seconds)
Mann-Whitney U 112.500
Wilcoxon W 217.500
Z -1.974
Asymp. Sig. (2-tailed) .048
Exact Sig. [2*(1-tailed Sig.)] .048 b
a. Grouping Variable: weight
b. Not corrected for ties.
1.
a. The p-value is 0.048 since p-value is smaller than the level of significance the null
hypothesis is rejected. Thus, the sample population is distinct.
b. Z value corrected for ties is -1.974
Table 3:
Ranks
Weight N Mean Rank Sum of
Ranks
time
(seconds)
Overweight 26 23.17 602.50
normal weight 14 15.54 217.50
Total 40
c. Mean rank for normal weighted individuals is 15.54
SPSS EXERCISES 4
2.
Table 4:
Independent Samples Test
Levene’s Test for
Equality of
Variances
t-test for Equality of Means
F Sig. t df Sig.
(2-
tailed)
Mean
Differen
ce
Std. Error
Difference
95% Confidence
Interval of the
Difference
Lower Upper
time
(seconds)
Equal
variances
assumed
1.217
.27
7
2.156 38 .037 12.423 5.763 .757 24.089
Equal
variances
not
assumed
2.023
22.40
0
.055 12.423 6.140 -.297 25.143
The p-value of t-test (assuming the data has equal variance) is 0.37, whereas that of Mann-
Whitney U test is 0.048. In t-test, the hypothesis to be tested is H 0 : The two samples have an
equal mean, versus, the H a1 : the two sample population have different mean.
354, Nonparametric procedures
Table 5:
Table
Ranks
SPSS EXERCISES 5
Hair
Color
N Mean Rank
Social
Extroversion
Blond 6 12.75
Brunet 6 10.25
Redhead 6 5.50
Total 18
Table 6:
Test Statistics a,b
Social
Extroversion
Chi-Square 5.963
df 2
Asymp.
Sig.
.051
a. Kruskal-Wallis Test
b. Grouping Variable:
Hair Color
- No need to run another test (Post Hoc test), for the difference is insignificant.
2.
Descriptive Statistics
N Mean Std.
Deviation
Minimum Maximum
SPSS EXERCISES 6
Social
Extroversion
18 3.72 2.109 1 10
Hair Color 18 2.00 .840 1 3
d =, where s pooled =
s pooled =
=
d =
Thus, the effect size is
3.
SPSS EXERCISES 7
- One way ANOVA
Table 7:
ANOVA
Hair Color
Sum of
Squares
df Mean
Square
F Sig.
Between
Groups
5.300 6 .883 1.450 .280
Within Groups 6.700 11 .609
Total 12.000 17
SPSS EXERCISES 8
At 95% level of significant, these results are not statistically significance, since p-value 0.280
is greater than α = 0.05
- The results of Kruskal-Wallis and One-way ANOVA results indicate that there is no
statistically significant difference between the mean of the variables.