\[\begin{array} { l c c } \text { Source } & \text { d.f. } & \text { Sum of Squares } \\ \text { Model } & 3 & 213.88125 \\ \text { Error } & 20 & 11.208333 \\ \text { Total } & 23 & 225.0895 \end{array}\] -Consider the above one-way ANOVA table.How many groups (treatment levels)are included in the study?

A) 3 B) 4 C) 6 D) 20 E) 24 A) 3 B) 4 C) 6 D) 20 E) 24

Consider the following partial analysis of variance table from a randomized block design with 10 blocks and 6 groups (treatments). \[\begin{array} { l c } \text { Source } & \text { SS } \\ \text { Treatments } & 2,477.53 \\ \text { Blocks } & 3,180.48 \\ \text { Error } & 11,661.38 \\ \text { Total } & \end{array}\] -What is the calculated F statistic for blocks?

The answer of Consider the following partial analysis of variance...

Consider the following partial analysis of variance table from a randomized block design with 6 blocks and 4 groups (treatments). \[\begin{array} { l c } \text { Source } & \text { Sum of Squares } \\ \text { Treatments } & 15.93 \\ \text { Blocks } & 42.09 \\ \text { Error } & 23.84 \\ \text { Total } & 81.86 \end{array}\] -Calculate the degrees of freedom for blocks.

The answer of Consider the following partial analysis of variance...

Consider the following partial analysis of variance table from a randomized block design with 6 blocks and 4 groups (treatments). \[\begin{array} { l c } \text { Source } & \text { Sum of Squares } \\ \text { Treatments } & 15.93 \\ \text { Blocks } & 42.09 \\ \text { Error } & 23.84 \\ \text { Total } & 81.86 \end{array}\] -Determine the degrees of freedom for error.

The answer of Consider the following partial analysis of variance...

Consider the following one-way ANOVA table. \[\begin{array} { l c c } \text { Source } & \text { d.f. } & \text { Sum of Squares } \\ \text { Model } & 3 & 213.88125 \\ \text { Error } & 20 & 11.208333 \\ \text { Total } & 23 & 225.0895 \end{array}\] What is the value of the F statistic for testing for a difference between group means?

The answer of Consider the following one-way ANOVA table. \[\begin{array}...

\[\begin{array} { l l l l l l } \text { Block } & 1 & 2 & 3 & 4 & 5 \\ \text { Tr1 } & 2 & 1 & 2 & 3 & 2 \\ \text { Tr2 } & 4 & 4 & 1 & 1 & 2.5 \\ \text { TR3 } & 3 & 4 & 3 & 2 & 3 \\ \text { Mean } & 2 & 3 & 3 & 2 & \text { overall mean } = 2.5 \end{array}\] Consider the randomized block design with 4 blocks and 3 treatments (groups) given above -What is the error sum of squares?

10 SST = (2 - 2.5) 2 + (1 - 2.5)

Exam 10: Experimental Design and Analysis of Variance

Suppose that you analyze data from a completely randomized experimental design using a one-way ANOVA.You find out later that the data was actually from a randomized block experimental design and use the ANOVA procedure to reanalyze the data.The F(groups)test statistic from your first analysis will be ______ the F(groups)test statistic from your second analysis.

(Multiple Choice)

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Question 41

Block 1 2 3 4 5 Tr1 2 1 2 3 2 Tr2 4 4 1 1 2.5 TR3 3 4 3 2 3 Mean 2 3 3 2 overall mean =2.5 Consider the randomized block design with 4 blocks and 3 treatments (groups) given above -What is the total sum of squares?

(Essay)

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Question 42

Consider the following data from a two-factor factorial experiment.You wish to perform a two-way analysis of variance to analyze the data. Factor I Factor II 1 2 3 1 4 8 5 6 7 5 5 5 6 2 4 5 0 2 3 1 3 2 1 -What is the interaction mean square?

(Essay)

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Question 43

The error sum of squares measures the between-treatment variability.

(True/False)

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Question 44

Find Tukey's simultaneous 95 percent confidence interval for the difference between the means of block 2 and block 4.

(Essay)

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Question 45

In a two-factor factorial experiment,the interaction effect between two factors can only be measured if there are multiple observations in each cell (combination of levels of two factors).

(True/False)

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Question 46

Suppose that you analyze data from a completely randomized experimental design using a one-way ANOVA.At the 5% level of significance,you reject the null hypothesis of equal treatment group means.You find out later that the data was actually from a randomized block experimental design and use the ANOVA procedure to reanalyze the data.For the randomized block design ANOVA,the null hypothesis of equal treatment group means will ______ be rejected at the 5% level of significance.

(Multiple Choice)

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Question 47

Source d.f. Sum of Squares Model 3 213.88125 Error 20 11.208333 Total 23 225.0895 -Consider the above one-way ANOVA table.How many groups (treatment levels)are included in the study?

(Multiple Choice)

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Question 48

Consider the following partial analysis of variance table from a randomized block design with 10 blocks and 6 groups (treatments). Source SS Treatments 2,477.53 Blocks 3,180.48 Error 11,661.38 Total -What is the calculated F statistic for blocks?

(Essay)

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Question 49

Suppose that you analyze data from a completely randomized experimental design using a one-way ANOVA.You find out later that the data was actually from a randomized block experimental design and use the ANOVA procedure to reanalyze the data.The between-groups sum of squares from your first analysis will be ______ the between-groups sum of squares from your second analysis.

(Multiple Choice)

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Question 50

In one-way ANOVA for a completely randomized design,the total sum of squares is equal to _______________________.

(Essay)

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Question 51

Suppose that you analyze data from a completely randomized experimental design using a one-way ANOVA.You find out later that the data was actually from a randomized block experimental design and use the ANOVA procedure to reanalyze the data.The total sum of squares from your first analysis will be ______ the total sum of squares from your second analysis.

(Multiple Choice)

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Question 52

Looking at four different diets, a researcher randomly assigned 20 equally overweight adults into each of the four diets. The researcher wishes to use a one-way ANOVA to analyze the data. -What is the degrees of freedom total?

(Multiple Choice)

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Question 53

The partially completed ANOVA table for a two-factor factorial design is given below.Factor A and B have three and four levels,respectively.There are two observations in each cell (replications). Complete the Analysis of variance table and test to determine whether the means for factor A differ at a = .05.

(Essay)

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Question 54

When we compute simultaneous 100 (1 - $\alpha$ )% confidence intervals,the value of a is called the

(Multiple Choice)

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Question 55

Test H₀: there is no difference between effects of levels of factor I at a =.05.

(Essay)

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Question 56

Consider the following partial analysis of variance table from a randomized block design with 6 blocks and 4 groups (treatments). Source Sum of Squares Treatments 15.93 Blocks 42.09 Error 23.84 Total 81.86 -Calculate the degrees of freedom for blocks.

(Essay)

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Question 57

Consider the following partial analysis of variance table from a randomized block design with 6 blocks and 4 groups (treatments). Source Sum of Squares Treatments 15.93 Blocks 42.09 Error 23.84 Total 81.86 -Determine the degrees of freedom for error.

(Essay)

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Question 58

Consider the following one-way ANOVA table. Source d.f. Sum of Squares Model 3 213.88125 Error 20 11.208333 Total 23 225.0895 What is the value of the F statistic for testing for a difference between group means?

(Essay)

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Question 59

Block 1 2 3 4 5 Tr1 2 1 2 3 2 Tr2 4 4 1 1 2.5 TR3 3 4 3 2 3 Mean 2 3 3 2 overall mean =2.5 Consider the randomized block design with 4 blocks and 3 treatments (groups) given above -What is the error sum of squares?

(Essay)

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Question 60

Block 1 2 3 4 5 Tr1 2 1 2 3 2 Tr2 4 4 1 1 2.5 TR3 3 4 3 2 3 Mean 2 3 3 2 overall mean =2.5 Consider the randomized block design with 4 blocks and 3 treatments (groups) given above -What is the total sum of squares?

Consider the following data from a two-factor factorial experiment.You wish to perform a two-way analysis of variance to analyze the data. Factor I Factor II 1 2 3 1 4 8 5 6 7 5 5 5 6 2 4 5 0 2 3 1 3 2 1 -What is the interaction mean square?

The error sum of squares measures the between-treatment variability.

Find Tukey's simultaneous 95 percent confidence interval for the difference between the means of block 2 and block 4.

In a two-factor factorial experiment,the interaction effect between two factors can only be measured if there are multiple observations in each cell (combination of levels of two factors).

Source d.f. Sum of Squares Model 3 213.88125 Error 20 11.208333 Total 23 225.0895 -Consider the above one-way ANOVA table.How many groups (treatment levels)are included in the study?

Consider the following partial analysis of variance table from a randomized block design with 10 blocks and 6 groups (treatments). Source SS Treatments 2,477.53 Blocks 3,180.48 Error 11,661.38 Total -What is the calculated F statistic for blocks?

In one-way ANOVA for a completely randomized design,the total sum of squares is equal to _______________________.

Looking at four different diets, a researcher randomly assigned 20 equally overweight adults into each of the four diets. The researcher wishes to use a one-way ANOVA to analyze the data. -What is the degrees of freedom total?

When we compute simultaneous 100 (1 - $\alpha$ )% confidence intervals,the value of a is called the

Test H₀: there is no difference between effects of levels of factor I at a =.05.

Consider the following partial analysis of variance table from a randomized block design with 6 blocks and 4 groups (treatments). Source Sum of Squares Treatments 15.93 Blocks 42.09 Error 23.84 Total 81.86 -Calculate the degrees of freedom for blocks.

Consider the following partial analysis of variance table from a randomized block design with 6 blocks and 4 groups (treatments). Source Sum of Squares Treatments 15.93 Blocks 42.09 Error 23.84 Total 81.86 -Determine the degrees of freedom for error.

Consider the following one-way ANOVA table. Source d.f. Sum of Squares Model 3 213.88125 Error 20 11.208333 Total 23 225.0895 What is the value of the F statistic for testing for a difference between group means?

Block 1 2 3 4 5 Tr1 2 1 2 3 2 Tr2 4 4 1 1 2.5 TR3 3 4 3 2 3 Mean 2 3 3 2 overall mean =2.5 Consider the randomized block design with 4 blocks and 3 treatments (groups) given above -What is the error sum of squares?

An Introduction to Business Statistics

Descriptive Statistics

Probability

Discrete Random Variables

Continuous Random Variables

Sampling Distributions

Confidence Intervals

Hypothesis Testing

Statistical Inferences Based on Two Samples

Correlation Coefficient and Simple Linear Regression Analysis

Multiple Regression and Model Building

Nonparametric Methods

Chi-Square Tests

Decision Theory

Time Series Forecasting

Filters

Exam 10: Experimental Design and Analysis of Variance

Block 1 2 3 4 5 Tr1 2 1 2 3 2 Tr2 4 4 1 1 2.5 TR3 3 4 3 2 3 Mean 2 3 3 2 overall mean =2.5 Consider the randomized block design with 4 blocks and 3 treatments (groups) given above -What is the total sum of squares?

Consider the following data from a two-factor factorial experiment.You wish to perform a two-way analysis of variance to analyze the data. Factor I Factor II 1 2 3 1 4 8 5 6 7 5 5 5 6 2 4 5 0 2 3 1 3 2 1 -What is the interaction mean square?

The error sum of squares measures the between-treatment variability.

Find Tukey's simultaneous 95 percent confidence interval for the difference between the means of block 2 and block 4.

In a two-factor factorial experiment,the interaction effect between two factors can only be measured if there are multiple observations in each cell (combination of levels of two factors).

Source d.f. Sum of Squares Model 3 213.88125 Error 20 11.208333 Total 23 225.0895 -Consider the above one-way ANOVA table.How many groups (treatment levels)are included in the study?

Consider the following partial analysis of variance table from a randomized block design with 10 blocks and 6 groups (treatments). Source SS Treatments 2,477.53 Blocks 3,180.48 Error 11,661.38 Total -What is the calculated F statistic for blocks?

In one-way ANOVA for a completely randomized design,the total sum of squares is equal to _______________________.

Looking at four different diets, a researcher randomly assigned 20 equally overweight adults into each of the four diets. The researcher wishes to use a one-way ANOVA to analyze the data. -What is the degrees of freedom total?

When we compute simultaneous 100 (1 - α\alphaα )% confidence intervals,the value of a is called the

Test H0: there is no difference between effects of levels of factor I at a =.05.

Consider the following partial analysis of variance table from a randomized block design with 6 blocks and 4 groups (treatments). Source Sum of Squares Treatments 15.93 Blocks 42.09 Error 23.84 Total 81.86 -Calculate the degrees of freedom for blocks.

Consider the following partial analysis of variance table from a randomized block design with 6 blocks and 4 groups (treatments). Source Sum of Squares Treatments 15.93 Blocks 42.09 Error 23.84 Total 81.86 -Determine the degrees of freedom for error.

Consider the following one-way ANOVA table. Source d.f. Sum of Squares Model 3 213.88125 Error 20 11.208333 Total 23 225.0895 What is the value of the F statistic for testing for a difference between group means?

Block 1 2 3 4 5 Tr1 2 1 2 3 2 Tr2 4 4 1 1 2.5 TR3 3 4 3 2 3 Mean 2 3 3 2 overall mean =2.5 Consider the randomized block design with 4 blocks and 3 treatments (groups) given above -What is the error sum of squares?

An Introduction to Business Statistics

Descriptive Statistics

Probability

Discrete Random Variables

Continuous Random Variables

Sampling Distributions

Confidence Intervals

Hypothesis Testing

Statistical Inferences Based on Two Samples

Correlation Coefficient and Simple Linear Regression Analysis

Multiple Regression and Model Building

Nonparametric Methods

Chi-Square Tests

Decision Theory

Time Series Forecasting

Filters

When we compute simultaneous 100 (1 - $\alpha$ )% confidence intervals,the value of a is called the

Test H₀: there is no difference between effects of levels of factor I at a =.05.