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ANOVA solving steps from SPSS
The ANOVA test is a parametric test, which assumes:
1. Population Normality Data is numerical data representing
samples fromnormally distributed populations.
2. Homogeneity of Variance The variances of the groups are
similar3. The size of the groups is similar.4. The group should be
independent.
Consider the following example:
Vijender Gupta wants to compare the scores of CBSE students from
four
metro cities of India i.e. Delhi, Kolkata, Mumbai, Chennai. He
obtained 20
particular scores based on random sampling from metros cities,
collecting100 responses. Also mote that, this is independent
design, since the
respondents are from different cities. He made following
hypothesis:
Null Hypothesis:
There is no significant difference in scores from different
metro cities of India.
Alternate Hypotheses:
There is significant difference in scores from different metro
cities of India.
Make the variable view of data table as shown below:
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Enter the
following
values:
1 400.00
1 450.00
1 499.00
1 480.00
1 494.00
1 300.00
1 350.00
1 356.00
1 269.00
1 298.00
1 299.00
1 599.001 466.00
1 591.00
1 502.00
1 598.00
1 548.00
1 459.00
1 489.00
1 499.00
2 389.00
2 398.00
2 399.00
2 599.00
2 598.00
2 457.00
2 498.00
2 400.00
2 300.00
2 369.00
2 368.00
2 348.00
2 499.00
2 475.00
2 489.00
2 498.00
2 399.00
2 398.00
2 378.00
2 498.003 488.00
3 469.00
3 425.00
3 450.00
3 399.00
3 385.00
3 358.00
3 299.00
3 298.00
3 389.00
3 398.00
3 349.00
3 358.00
3 498.00
3 452.00
3 411.00
3 398.00
3 379.00
3 295.00
3 250.00
4 450.00
4 400.00
4 450.00
4 428.00
4 398.00
4 359.00
4 360.00
4 302.004 310.00
4 295.00
4 259.00
4 301.00
4 322.00
4 365.00
4 389.00
4 378.00
4 345.00
4 498.00
4 489.00
4 456.00
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Click onAnalyze Menu >> Compare Means >> One Way
Anova >> One-Way
Anovadialogue box will be opened.
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Select Student Score (Dependent Variable) in Dependent Listbox
and City
(independent Variable) in the factor as shown below.
Click Contrastspush button. Contrastssub dialogue box will be
opened. See that
all the settings remain as shown in the figure below. Click
Continueto close this sub
dialogue box and come back to One-Way ANOVA box.
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Click Post Hocpush button. Post Hocsub dialogue box will be
opened. See that all
the settings remain as shown in the figure below. Click
Tukeytest and click box.
Also note that significant levelin this sub dialogue box is
0.05, which can be
changed according to the need.
Click Optionspush button. Options sub dialogue box will be
opened. Select the
Descriptiveand Homogeneity of Variancetest check box and see
that all the
settings remain as shown in the figure below. Click Continueto
close this sub
dialogue box and come back to One-way ANOVAdialogue box. Click
OKto see theoutput viewer.
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