You are interested in evaluating the effect of customer type on satisfaction whi
ID: 3292800 • Letter: Y
Question
You are interested in evaluating the effect of customer type on satisfaction while controlling for industry.
Develop the appropriate research question and/or hypothesis for main effect and interaction.
Do the covariate and factor interact? Can you conclude statistically (Specify Custom Model)?
Conduct ANCOVA. Summarize and write-up the results.
Levene's Test of Equality of Error Variancesa
Dependent Variable:
X19 - Satisfaction
F
df1
df2
Sig.
6.699
2
197
.002
Tests the null hypothesis that the error variance of the dependent variable is equal across groups.
a. Design: Intercept + x1 + x2
Univariate Analysis of Variance
Between-Subjects Factors
Value Label
N
X1 - Customer Type
1
Less than 1 year
68
2
1 to 5 years
64
3
Over 5 years
68
Tests of Between-Subjects Effects
Dependent Variable:
X19 - Satisfaction
Source
Type III Sum of Squares
df
Mean Square
F
Sig.
Partial Eta Squared
Corrected Model
167.936a
3
55.979
79.160
.000
.548
Intercept
5023.782
1
5023.782
7104.179
.000
.973
x1
166.243
2
83.122
117.543
.000
.545
x2
3.625
1
3.625
5.126
.025
.025
Error
138.603
196
.707
Total
9972.600
200
Corrected Total
306.539
199
a. R Squared = .548 (Adjusted R Squared = .541)
Estimated Marginal mean
Grand Mean
Dependent Variable:
X19 - Satisfaction
Mean
Std. Error
95% Confidence Interval
Lower Bound
Upper Bound
6.959a
.059
6.841
7.076
a. Covariates appearing in the model are evaluated at the following values: X2 - Industry Type = .50.
Levene's Test of Equality of Error Variancesa
Dependent Variable:
X19 - Satisfaction
F
df1
df2
Sig.
6.699
2
197
.002
Tests the null hypothesis that the error variance of the dependent variable is equal across groups.
a. Design: Intercept + x1 + x2
Univariate Analysis of Variance
Between-Subjects Factors
Value Label
N
X1 - Customer Type
1
Less than 1 year
68
2
1 to 5 years
64
3
Over 5 years
68
Tests of Between-Subjects Effects
Dependent Variable:
X19 - Satisfaction
Source
Type III Sum of Squares
df
Mean Square
F
Sig.
Partial Eta Squared
Corrected Model
167.936a
3
55.979
79.160
.000
.548
Intercept
5023.782
1
5023.782
7104.179
.000
.973
x1
166.243
2
83.122
117.543
.000
.545
x2
3.625
1
3.625
5.126
.025
.025
Error
138.603
196
.707
Total
9972.600
200
Corrected Total
306.539
199
a. R Squared = .548 (Adjusted R Squared = .541)
Estimated Marginal mean
Grand Mean
Dependent Variable:
X19 - Satisfaction
Mean
Std. Error
95% Confidence Interval
Lower Bound
Upper Bound
6.959a
.059
6.841
7.076
a. Covariates appearing in the model are evaluated at the following values: X2 - Industry Type = .50.
Explanation / Answer
From the results the assumption of homogeneity of variances is not satisfied as Levene’s test is significant with F(2,197)=6.699, p=0.002<0.05.
X2 (industry) significantly affect satisfaction asF(1, 196)=5.126,p=0.025<0.05. Hence covariate has significant impact on satisfaction
After controlling for covariate X2, the factor X1(customer type) has significant impact on satisfaction as F(2, 196)=117.543,p=0.000<0.05.
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