Exam 14: Analysis of Variance

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The F-test statistic in ANOVA is equal to MS____________________ divided by MS____________________ and H0 is rejected for ____________________ values of F.

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The numerator and denominator degrees of freedom for the F-test in a one-way ANOVA are,respectively,

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A randomized block experiment having five treatments and six blocks produced the following values: SST = 252,SS(Total)= 1,545,SSE = 198.The value of SSB must be 1095.

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SSE in the independent samples design is equal to the sum of SSB and SSE in the randomized block design.

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Keyboard Configuration and Size The data shown below were taken from a 2 × 3 factorial experiment to examine the effects of factor A (keyboard configuration,3 levels)and factor B (keyboard size,2 levels)on typing speed.Each cell consists of the times needed for each of 4 randomly assigned keyboardists to type a standard document under each set of conditions (in minutes).  Keyboard Configuration and Size  The data shown below were taken from a 2 × 3 factorial experiment to examine the effects of factor A (keyboard configuration,3 levels)and factor B (keyboard size,2 levels)on typing speed.Each cell consists of the times needed for each of 4 randomly assigned keyboardists to type a standard document under each set of conditions (in minutes).   ​ ​ -{Keyboard Configuration and Size Narrative} Test at the 5% significance level to determine if time differences exist among the different keyboard configurations. ​ ​ -{Keyboard Configuration and Size Narrative} Test at the 5% significance level to determine if time differences exist among the different keyboard configurations.

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Which of the following is not a required condition for one-way ANOVA?

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Gold Funds An investor studied the percentage rates of return of three different gold funds.Random samples of percentage rates of return for four periods were taken from each fund.The results appear in the table below: Gold Funds  An investor studied the percentage rates of return of three different gold funds.Random samples of percentage rates of return for four periods were taken from each fund.The results appear in the table below:   ​ ​ -{Gold Funds Narrative} Test at the 5% significance level to determine whether the mean percentage rates for the three funds differ. ​ ​ -{Gold Funds Narrative} Test at the 5% significance level to determine whether the mean percentage rates for the three funds differ.

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The Bonferroni adjustment decreases the experimentwise Type I error rate,but it increases the probability of a Type II error.

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In a completely randomized design,15 experimental units were assigned to each of four treatments.Fill in the blanks (identified by asterisks)in the partial ANOVA table shown below. In a completely randomized design,15 experimental units were assigned to each of four treatments.Fill in the blanks (identified by asterisks)in the partial ANOVA table shown below.

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The purpose of designing a randomized block experiment is to reduce the between-treatments variation (SST)to more easily detect differences between the treatment means.

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How does conducting multiple t-tests compare to conducting a single F-test?

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The analysis of variance is a procedure that allows statisticians to compare two or more population:

(Multiple Choice)
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In a completely randomized design,12 experimental units were assigned to the first treatment,15 units to the second treatment,and 18 units to the third treatment.A partial ANOVA table is shown below: In a completely randomized design,12 experimental units were assigned to the first treatment,15 units to the second treatment,and 18 units to the third treatment.A partial ANOVA table is shown below:   ​  a.Fill in the blanks (identified by asterisks)in the above ANOVA table. b.Test at the 5% significance level to determine if differences exist among the three treatment means. ​ a.Fill in the blanks (identified by asterisks)in the above ANOVA table. b.Test at the 5% significance level to determine if differences exist among the three treatment means.

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LSAT Scores A recent college graduate is in the process of deciding which one of three Law schools he should apply to.He decides to judge the quality of the schools on the basis of the Law School Admission Test (LSAT)scores of those who are accepted into the school.A random sample of six students in each school produced the following LSAT scores.An F-test using ANOVA concluded that average LSAT scores differ for at least two of the schools. LSAT Scores  A recent college graduate is in the process of deciding which one of three Law schools he should apply to.He decides to judge the quality of the schools on the basis of the Law School Admission Test (LSAT)scores of those who are accepted into the school.A random sample of six students in each school produced the following LSAT scores.An F-test using ANOVA concluded that average LSAT scores differ for at least two of the schools.   ​ ​ -{LSAT Scores Narrative} Use Fisher's LSD method with α = 0.05 to determine which school's means differ. ​ ​ -{LSAT Scores Narrative} Use Fisher's LSD method with α = 0.05 to determine which school's means differ.

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In employing the randomized block design,the primary interest lies in reducing sum of squares for ____________________.

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SSE measures the variation ____________________ treatments.

(Short Answer)
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The ANOVA procedure tests to determine whether differences exist between two or more population ____________________.

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One example of a blocking variable is the dosage level that each subject is assigned to in a randomized experiment.

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In one-way ANOVA,the term In one-way ANOVA,the term   refers to the: refers to the:

(Multiple Choice)
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In a two-factor ANOVA,there are 5 levels for factor A,4 levels for factor B,and 3 observations for each combination of factor A and factor B levels.The number of treatments in this experiment equals 20.

(True/False)
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