## Applied linear statistical models: regression, analysis of variance, and experimental designsSome basic results in probability and statistics. basic regression analysis. Linear regression with one independent variable. Inferences in regression analysis. Aptness of model and remedial measures. Topics in regression analysis - I. General regression and correlation analysis. Matrix appreach to simple regression analysis. Multiple regression. Polymonial regression. Indicator variables. Topics in regression analysis - II. Search for "best" set of independent variables. Normal correlation models. Basic analysis of variance. Single - factor analysis of variance. Analysis of factor effects. Implementation of ANOVA model. Topics in analysis of variance - I. Multifactor analysis of variance. Two factor analysis of variance. Analysis of two - factor studies. To pics in analysis of variance - II. Multifactor studies. Experimental designs. Completely randomized designs. Analysis of covariance for completely randomized designs. Randomized block designs. Latin square designs. |

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Page 581

If the test for interactions is conducted with a

factor A effects with a

...

If the test for interactions is conducted with a

**level of significance**of a,, that forfactor A effects with a

**level of significance**of a2, and that for factor B effects with a**level of significance**of ot3, the**level of significance**a for the family of three tests is...

Page 582

This inequality states : (17.47) a<l -(1 -at)(l ~a2)(l -a,) For our Castle Bakery

example, where a, = a2 = a3 = .05, the Bonferroni inequality yields as the bound

for the family

inequality ...

This inequality states : (17.47) a<l -(1 -at)(l ~a2)(l -a,) For our Castle Bakery

example, where a, = a2 = a3 = .05, the Bonferroni inequality yields as the bound

for the family

**level of significance**: a <. 05 + .05 + .05 = .15 while the Kimballinequality ...

Page 587

Use a

an upper bound for the family

Use a

**level of significance**of .025 for each test. Summarize your results. c) Givean upper bound for the family

**level of significance**. What does the family**level of****significance**refer to in this example? d) What should be the next step in the ...### What people are saying - Write a review

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### Contents

Some Basic Results in Probability and Statistics | 1 |

Linear Regression with One Independent Variable | 21 |

Inferences in Regression Analysis | 53 |

Copyright | |

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### Common terms and phrases

95 percent analysis of variance ANOVA appropriate blocking variable Bonferroni column Company example completely randomized design conclude C2 confidence interval correlation covariance analysis decision rule degrees of freedom denoted equal error sum error terms error variance experimental units factor effects factor level means family confidence coefficient Figure follows Hence illustration independent variables indicator variables interval estimate latin square latin square design level of significance linear regression main effects matrix mean response method normally distributed Note observations obtain parameters percent confidence prediction prediction interval probability distribution procedure random variables Refer to Problem regression analysis regression approach regression coefficients regression function regression line residual plots response function sample sizes shown significance of 05 Source of Variation SSAB SSE(F SSE(R SSTO SSTR sum of squares test statistic three-factor transformation treatment effects treatment means two-factor study Type I error variance model vector Westwood Company zero