GMGT282-UGSEM4C-2024/25S2-Research Methods for Managers
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Among 1,000 managers with
degrees in business administration, the following data have been accumulated as
to their fields of concentration.
|
Major
|
Top Management
|
Middle Management
|
TOTAL
|
|
|
|
|
|
|
Management
|
280
|
220
|
500
|
|
Marketing
|
120
|
80
|
200
|
|
Accounting
|
150
|
150
|
300
|
|
TOTAL
|
550
|
450
|
1000
|
We want to determine if the position in management is independent of field (major) of concentration.
Compute the test statistic
The number of times each experimental condition is observed in a factorial design is known as
In the analysis of variance procedure (ANOVA), "
An ANOVA procedure is applied to data obtained from 6 samples where each sample contains 20 observations. The degrees of freedom for the critical value of F are
Exhibit 13-2
Source
of Variation
|
Sum
of Squares
|
Degrees
of Freedom
|
Mean
Square
|
F
|
Between Treatments
|
2,073.6
|
4
|
|
|
Between Blocks
|
6,000
|
5
|
1,200
|
|
Error
|
|
20
|
288
|
|
Total
|
|
29
|
|
|
Refer to Exhibit 13-2. The sum of squares due to error equals
In order to determine whether or not the means of two populations are equal,
Part of an ANOVA table involving 8 groups for a study is shown below.
Source of
Variation
|
Sum of
Squares
|
Degrees of
Freedom
|
Mean
Square
|
F
|
Between
Treatments
|
126
|
"A"
|
|
|
Within
Treatments (Error)
|
240
|
|
|
|
Total
|
|
67
|
|
|
calculate "A"
In a co mpletely randomized design involving three treatments, the following information is provided:
|
Treatment 1
|
Treatment 2
|
Treatment 3
|
Sample Size
|
5
|
10
|
5
|
Sample Mean
|
4
|
8
|
9
|
The overall mean for all the treatments is
The sampling distribution for a goodness of fit test is the
ANOVA |
|
|
|
|
|
|
Source of Variation | SS | df | MS | F | P-value | F critical |
Between Groups | 70 | 2 | "A" | |||
Within Groups | 62 | 12 |
|
|
|
|
Total | 132 | 14 |
|
|
|
|
Th w what is calculate "A"
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