hand pairwise co

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Need some assistance in manually calculating by hand pairwise comparisons ANOVA, Thankyou

 

A study was conducted to examine the effects of four different store displays for a household product on sales.
Sixteen stores were grouped into four blocks of four according to their sizes. The stores in each block were then
randomly assigned to the four displays. The sales data (coded) follow.
Type of Display
Store size
1
2
3
4
Small
350
352
338
438
Medium
412
449
385
532
Large
956
953
938
1049
Very large
1008
1032
1025
1123
The GLM Procedure
Class Level Information
Class
Levels Values
store size
4 1234
display_type
4 1234
The GLM Procedure
Dependent Variable: sales
DF Sum of Squares Mean Square F Value Pr>F
Source
Model
6
1511440.000
251906.667 1371.54 <.0001
Error
9
1653.000
183.667
Corrected Total 15
1513093.000
R-Square Coeff Var Root MSE sales Mean
0.998908 1.912151
13.55237
708.7500
Source
DF
Type I SS Mean Square F Value Pr> F
store_size
3 1478757.000
492919.000 2683.77 <.0001
display type 3
32683.000
10894.333
59.32 <.0001
(a) Estimate the following pairwise comparisons:
L1 = µ.1 - H.2
L2 = l.3 - H.4
Obtain confidence intervals for these comparisons using the appropriate procedure with a 95 percent family
confidence coefficient. Interpret your findings.
Level of
N
sales
display_type
Mean
Std Dev
1
4 681.500000 348.556547
2
4 696.500000 345.585976
3
4 671.500000 360.226318
4
4 785.500000 350.407858
Transcribed Image Text:A study was conducted to examine the effects of four different store displays for a household product on sales. Sixteen stores were grouped into four blocks of four according to their sizes. The stores in each block were then randomly assigned to the four displays. The sales data (coded) follow. Type of Display Store size 1 2 3 4 Small 350 352 338 438 Medium 412 449 385 532 Large 956 953 938 1049 Very large 1008 1032 1025 1123 The GLM Procedure Class Level Information Class Levels Values store size 4 1234 display_type 4 1234 The GLM Procedure Dependent Variable: sales DF Sum of Squares Mean Square F Value Pr>F Source Model 6 1511440.000 251906.667 1371.54 <.0001 Error 9 1653.000 183.667 Corrected Total 15 1513093.000 R-Square Coeff Var Root MSE sales Mean 0.998908 1.912151 13.55237 708.7500 Source DF Type I SS Mean Square F Value Pr> F store_size 3 1478757.000 492919.000 2683.77 <.0001 display type 3 32683.000 10894.333 59.32 <.0001 (a) Estimate the following pairwise comparisons: L1 = µ.1 - H.2 L2 = l.3 - H.4 Obtain confidence intervals for these comparisons using the appropriate procedure with a 95 percent family confidence coefficient. Interpret your findings. Level of N sales display_type Mean Std Dev 1 4 681.500000 348.556547 2 4 696.500000 345.585976 3 4 671.500000 360.226318 4 4 785.500000 350.407858
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