Make pairwise comparisons of display panels A, B, and C by using Tukey simultaneous 95 percent confidence intervals.(Round your answers to 4 decimal places. Negative amounts should be indicated by a minus sign.)   Make pairwise comparisons of emergency conditions 1, 2, 3, and 4 by using Tukey simultaneous 95 percent confidence intervals

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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  Emergency Condition
Display Panel 1 2 3 4
A 17 25 31 14
  14 24 34 13
B 16 22 28 9
  12 19 31 10
C 21 29 32 15
  24 28 37 19
 

 

Least Squares Means Estimates
Panel Estimate Condition Estimate
A 21.500000 1 17.166670
B 18.375000 2 24.500000
C 25.625000 3 32.166670
    4 13.500000
 

 

Analysis of Variance
Source DF Sum of Squares Mean Square F Ratio
Model 11 1,458.3333 132.576 32.4675
Error 12 49.0000 4.083 Prob > F
C. Total 23 1,507.3333   <.0001*
 

 

Effect Tests
Source Nparm DF Sum of Squares F Ratio Prob > F
Panel 2 2 211.5833 25.9082 <.0001*
Condition 3 3 1,230.6667 100.4626 <.0001*
Panel* Condition 6 6 16.0833 0.6565 0.6857
 

 

Tukey HSD All Pairwise Comparisons

Quantile = 2.66776, Adjusted DF = 12.0, Adjustment = Tukey

 

Panel -Panel Difference Std Error t Ratio Prob>|t| Lower 95% Upper 95%
A B 3.12500 1.010363 3.09 0.0235* 0.4296 5.82040
A C −4.12500 1.010363 −4.08 0.0040* −6.8204 −1.42960
B C −7.25000 1.010363 −7.18 < .0001* −9.9454 −4.55460
 

 

Tukey HSD All Pairwise Comparisons

Quantile = 2.9688, Adjusted DF = 12.0, Adjustment = Tukey

 

Condition -Condition Difference Std Error t Ratio Prob>|t| Lower 95% Upper 95%
1 2 −7.3333 1.166667 −6.29 0.0002* −10.7969 −3.8697
1 3 −15.0000 1.166667 −12.86 < .0001* −18.4636 −11.5364
1 4 3.6667 1.166667 3.14 0.0370* 0.2031 7.1303
2 3 −7.6667 1.166667 −6.57 0.0001* −11.1303 −4.2031
2 4 11.0000 1.166667 9.43 < .0001* 7.5364 14.4636
3 4 18.6667 1.166667 16.00 < .0001* 15.2031 22.1303
 

Make pairwise comparisons of display panels AB, and C by using Tukey simultaneous 95 percent confidence intervals.(Round your answers to 4 decimal places. Negative amounts should be indicated by a minus sign.)

 

Make pairwise comparisons of emergency conditions 1, 2, 3, and 4 by using Tukey simultaneous 95 percent confidence intervals. (Round your answers to 4 decimal places. Negative amounts should be indicated by a minus sign.)

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Calculate a 95 percent (individual) confidence interval for the mean time required to stabilize emergency condition 4 using display panel B

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