Statistics for People Who (Think They) Hate Statistics, Salkind, Without CD
5th Edition
ISBN: 9781452277714
Author: Neil J. Salkind
Publisher: SAGE Publications, Inc
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Question
Chapter 14, Problem 1TP
To determine
To explain: The reason for using a factorial ANOVA rather than a simple ANOVA for a test of the significance of the difference between the averages of two or more groups.
Expert Solution & Answer
Answer to Problem 1TP
A factorial ANOVA is appropriate to use when there are two or more factors.
Explanation of Solution
To test the significance of more than one factor, simultaneously or more than once, the independent variable factorial analysis of variance is used. For example, when there is a presence of two or more independent variables such as experience which takes two levels 1 year, 2 years and age which takes two levels such as less than 25 and greater 25, the factorial ANOVA is used, rather than the simple ANOVA.
This two-way analysis of variance calculation is the same as simple or one-way ANOVA.
ANOVA is the correct tool to analyze the data when the independent variables have two groups or levels. If more than one factor, the factorial ANOVA is appropriate to get the significance of the data.
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Calculate the 90% confidence interval for the population mean difference using the data in the attached image. I need to see where I went wrong.
Microsoft Excel snapshot for random sampling: Also note the formula used for the last
column
02
x✓ fx =INDEX(5852:58551, RANK(C2, $C$2:$C$51))
A
B
1
No.
States
2
1
ALABAMA
Rand No.
0.925957526
3
2
ALASKA
0.372999976
4
3
ARIZONA
0.941323044
5
4 ARKANSAS
0.071266381
Random Sample
CALIFORNIA
NORTH CAROLINA
ARKANSAS
WASHINGTON
G7
Microsoft Excel snapshot for systematic sampling:
xfx INDEX(SD52:50551, F7)
A
B
E
F
G
1
No.
States
Rand No. Random Sample
population
50
2
1 ALABAMA
0.5296685 NEW HAMPSHIRE
sample
10
3
2 ALASKA
0.4493186 OKLAHOMA
k
5
4
3 ARIZONA
0.707914 KANSAS
5
4 ARKANSAS 0.4831379 NORTH DAKOTA
6
5 CALIFORNIA 0.7277162 INDIANA
Random Sample
Sample Name
7
6 COLORADO 0.5865002 MISSISSIPPI
8
7:ONNECTICU 0.7640596 ILLINOIS
9
8 DELAWARE 0.5783029 MISSOURI
525
10
15
INDIANA
MARYLAND
COLORADO
Chapter 14 Solutions
Statistics for People Who (Think They) Hate Statistics, Salkind, Without CD
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