Answer the questions that follow this SPSS output: Descriptives ANOVA sat $\begin{array}{|l|r|r|r|r|} \hline & & & & \\ & \mathrm{N} & & & \\ \hline \text { 1 Harris } & 91 & 992.75 & 131.775 & 13.814 \\ \text { 2 Travis } & 121 & 1024.05 & 135.626 & 12.330 \\ \text { 3 Nacogdoches } & 77 & 1005.06 & 138.399 & 15.772 \\ \text { Total } & 289 & 1009.13 & 135.381 & 7.964 \\ \hline \end{array}$ ANOVA sat $\begin{array}{|l|r|r|r|r|r|} \hline & {\begin{array}{c} \text { Sum of } \\ \text { Squares } \end{array}} &{\text { df }} & \text { Mean Square } & \text { F } & \text { Sig. } \\ \hline \text { Between Groups } & 52630.172 & 2 & 26315.086 & 1.440 & .239 \\ \text { Within Groups } & 5225854 & 286 & 18272.215 & & \\ \text { Total } & 5278484 & 288 & & & \\ \hline \end{array}$ Multiple Comparisons Dependent Variable: sat Bonferroni $\begin{array}{|ll|r|r|r|} \hline \text { (I) county } & \text { (J) county } & \begin{array}{c} \text { Mean } \\ \text { Difference } \\ (1-\mathrm{J}) \end{array} & \text { Std. Error } & {\text { Sig. }} \\ \hline \text { 1 Harris } & \text { 2 Travis } & -31.302 & 18.756 & .289 \\ & \text { 3 Nacogdoches } & -12.318 & 20.931 & 1.000 \\ \hline \text { 2 Travis } & \text { 1 Harris } & 31.302 & 18.756 & .289 \\ & \text { 3 Nacogdoches } & 18.985 & 19.706 & 1.000 \\ \hline \text { 3 Nacogdoches } & \text { 1 Harris } & 12.318 & 20.931 & 1.000 \\ & \text { 2 Travis } & -18.985 & 19.706 & 1.000 \\ \hline \end{array}$ Your research hypothesis is "In the population, there is a difference in the average SAT scores among the following groups: students from Harris County, students from Travis County, and students from Nacogdoches County." A) What is your null hypothesis? B) Are your sample results consistent with the null hypothesis or the research hypothesis? (null / research) C) What is the probability of getting the sample results you got if the null hypothesis is true? (If this step in hypothesis testing can be skipped, write the word "SKIP".) D) What is your conclusion? (In other words, do you "reject" or "not reject" the null hypothesis based on these results?) E) Are your results statistically significant? (yes / no) F) Is it appropriate to discuss the results of the post hoc multiple comparisons tests? (yes / no) G) If it is appropriate to discuss the post hoc multiple comparison tests, which pairs of groups are probably different from one another in the population? If it is not appropriate, explain why it is not appropriate.

a. In the population, there is no differ

Answer the questions that follow this SPSS output: Descriptives EARNIN04 Total Wages and Salaries in 2004 $\begin{array}{|l|r|c|c|c|} \hline & & & & \\ & {\mathrm{N}} & \text { Mean } & \text { Std. Deviation } & \text { Std. Error } \\ \hline \text { 1 1st born } & 233 & 46640.97 & 55469.341 & 3633.917 \\ \text { 2 middle child } & 526 & 34271.83 & 43764.861 & 1908.239 \\ \text { 3 last born } & 262 & 37723.61 & 44800.964 & 2767.813 \\ \text { Total } & 1021 & 37980.33 & 47154.129 & 1475.730 \\ \hline \end{array}$ ANOVA EARNIN04 Total Wages and Salaries in 2004 $\begin{array}{|l|c|r|r|l|l|} \hline & {\begin{array}{l} \text { Sum of } \\ \text { Squares } \end{array}} & {\mathrm{df}} & \text { Mean Square } & \mathrm{F} & \text { Sig. } \\ \hline \text { Between Groups } & 2.5 \mathrm{E}+010 & 2 & 1.236 \mathrm{E}+010 & 5.611 & .004 \\ \text { Within Groups } & 2.2 \mathrm{E}+012 & 1018 & 2203589661 & & \\ \text { Total } & 2.3 \mathrm{E}+012 & 1020 & & & \\ \hline \end{array}$ Multiple Comparisons Dependent Variable: EARNIN04 Total Wages and Salaries in 2004 Bonferroni $\begin{array}{|ll|c|c|r|} \hline & \text { (J) BIRTHORD } & \begin{array}{c} \text { Mean } \\ \text { Difference } \end{array} & & \\ \text { (l) BIRTHORD Birth Order } & \text { Birth Order } & \begin{array}{c} \text { (I-J) } \end{array} & \text { Std. Error } & \text { Sig. } \\ \hline 1 \text { 1st born } & 2 \text { middle child } & 12369.137^{*} & 3694.158 & .003 \\ & 3 \text { last born } & 8917.351 & 4227.069 & .105 \\ \hline 2 \text { middle child } & 1 \text { 1st born } & -12369.137^{*} & 3694.158 & .003 \\ & 3 \text { last born } & -3451.786 & 3549.645 & .993 \\ \hline 3 \text { last born } & 1 \text { 1st born } & -8917.351 & 4227.069 & .105 \\ & 2 \text { middle child } & 3451.786 & 3549.645 & .993 \\ \hline \end{array}$ ${ } ^ { * }$. The mean difference is significant at the $.05$ level. Your research hypothesis is "In the population, there is a difference in the average earnings of 1st born children, middle-born children, and last-born children." A) What is your null hypothesis? B) Are your sample results consistent with the null hypothesis or the research hypothesis? (null / research) C) What is the probability of getting the sample results you got if the null hypothesis is true? (If this step in hypothesis testing can be skipped, write the word "SKIP".) D) What is your conclusion? (In other words, do you "reject" or "not reject" the null hypothesis based on these results?) E) Are your results statistically significant? (yes / no) F) Is it appropriate to discuss the results of the post hoc multiple comparisons tests? (yes / no) G) If it is appropriate to discuss the post hoc multiple comparison tests, which pairs of groups are probably different from one another in the population? If it is not appropriate, explain why it is not appropriate.

a. In the population, there is no differ

On the basis of this output, which of the following is true? Tests of Between-Subjects Effects Dependent Variable:KIDSBEST $\begin{array}{|l|r|r|r|r|r|} \hline \text { Source } & \begin{array}{c} \text { Type III Sum } \\ \text { of Squares } \end{array} & \text { df } & \text { Mean Square } & \text { F } & {\text { Sig. }} \\ \hline \text { Corrected Model } & 4.238^{a} & 5 & .848 & 1.174 & .325 \\ \text { Intercept } & 327.547 & 1 & 327.547 & 453.553 & .000 \\ \text { MARRIED } & 3.631 & 2 & 1.816 & 2.514 & .085 \\ \text { SEX } & .701 & 1 & .701 & .971 & .326 \\ \text { MARRIED* SEX } & 1.790 & 2 & .895 & 1.239 & .293 \\ \text { Error } & 96.050 & 133 & .722 & & \\ \text { Total } & 879.000 & 139 & & & \\ \text { Corrected Total } & 100.288 & 138 & & & \\ \hline \end{array}$ a. R Squared $= .042 ($ Adjusted R Squared $= .006 )$

A) The overall model is not significant. B) The interaction effect is significant. C) The main effect of MARRIED is significant. D) The main effect of SEX is significant. A) The overall model is not significant. B) The interaction effect is significant. C) The main effect of MARRIED is significant. D) The main effect of SEX is significant.

Exam 14: Analysis of Variance

Your research hypothesis is "In the population, there is a difference between men and women in the average number of work days per year lost due to injury." What type of hypothesis test should be used?

(Multiple Choice)

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Question 21

You are doing a one-way ANOVA. Your sample size is 1,000. Your factor (independent) variable has four categories. How many degrees of freedom will your F-ratio have? and degrees of freedom

(Short Answer)

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Question 22

Answer the questions that follow this SPSS output: Descriptives ANOVA sat 1 Harris 91 992.75 131.775 13.814 2 Travis 121 1024.05 135.626 12.330 3 Nacogdoches 77 1005.06 138.399 15.772 Total 289 1009.13 135.381 7.964 ANOVA sat Sum of Squares df Mean Square F Sig. Between Groups 52630.172 2 26315.086 1.440 .239 Within Groups 5225854 286 18272.215 Total 5278484 288 Multiple Comparisons Dependent Variable: sat Bonferroni (I) county (J) county Mean Difference (1-) Std. Error Sig. 1 Harris 2 Travis -31.302 18.756 .289 3 Nacogdoches -12.318 20.931 1.000 2 Travis 1 Harris 31.302 18.756 .289 3 Nacogdoches 18.985 19.706 1.000 3 Nacogdoches 1 Harris 12.318 20.931 1.000 2 Travis -18.985 19.706 1.000 Your research hypothesis is "In the population, there is a difference in the average SAT scores among the following groups: students from Harris County, students from Travis County, and students from Nacogdoches County." A) What is your null hypothesis? B) Are your sample results consistent with the null hypothesis or the research hypothesis? (null / research) C) What is the probability of getting the sample results you got if the null hypothesis is true? (If this step in hypothesis testing can be skipped, write the word "SKIP".) D) What is your conclusion? (In other words, do you "reject" or "not reject" the null hypothesis based on these results?) E) Are your results statistically significant? (yes / no) F) Is it appropriate to discuss the results of the post hoc multiple comparisons tests? (yes / no) G) If it is appropriate to discuss the post hoc multiple comparison tests, which pairs of groups are probably different from one another in the population? If it is not appropriate, explain why it is not appropriate.

(Essay)

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Question 23

When is an independent-samples t test used to compare group means and when is a one-way ANOVA used?

(Essay)

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Question 24

An author reports the following information about a one-way ANOVA: F = 0.95, df = 3 and 48, p = .231. Which of the following is true?

(Multiple Choice)

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Question 25

Your research hypothesis is "In the population, the average number of days female unauthorized immigrants stay in the U.S. is longer than the average number of days male unauthorized immigrants stay in the U.S." What type of hypothesis test should be used?

(Multiple Choice)

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Question 26

You are doing a one-way ANOVA. Your sample size is 500. Your factor (independent) variable has six categories. How many degrees of freedom will your F-ratio have? and degrees of freedom

(Short Answer)

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Question 27

Answer the questions that follow this SPSS output: Descriptives EARNIN04 Total Wages and Salaries in 2004 Mean Std. Deviation Std. Error 1 1st born 233 46640.97 55469.341 3633.917 2 middle child 526 34271.83 43764.861 1908.239 3 last born 262 37723.61 44800.964 2767.813 Total 1021 37980.33 47154.129 1475.730 ANOVA EARNIN04 Total Wages and Salaries in 2004 Sum of Squares Mean Square Sig. Between Groups 2.5+010 2 1.236+010 5.611 .004 Within Groups 2.2+012 1018 2203589661 Total 2.3+012 1020 Multiple Comparisons Dependent Variable: EARNIN04 Total Wages and Salaries in 2004 Bonferroni (J) BIRTHORD Mean Difference (l) BIRTHORD Birth Order Birth Order (I-J) Std. Error Sig. 1 1st born 2 middle child 12369.13 3694.158 .003 3 last born 8917.351 4227.069 .105 2 middle child 1 1st born -12369.13 3694.158 .003 3 last born -3451.786 3549.645 .993 3 last born 1 1st born -8917.351 4227.069 .105 2 middle child 3451.786 3549.645 .993 ${ } ^ { * }$ . The mean difference is significant at the $.05$ level. Your research hypothesis is "In the population, there is a difference in the average earnings of 1^st born children, middle-born children, and last-born children." A) What is your null hypothesis? B) Are your sample results consistent with the null hypothesis or the research hypothesis? (null / research) C) What is the probability of getting the sample results you got if the null hypothesis is true? (If this step in hypothesis testing can be skipped, write the word "SKIP".) D) What is your conclusion? (In other words, do you "reject" or "not reject" the null hypothesis based on these results?) E) Are your results statistically significant? (yes / no) F) Is it appropriate to discuss the results of the post hoc multiple comparisons tests? (yes / no) G) If it is appropriate to discuss the post hoc multiple comparison tests, which pairs of groups are probably different from one another in the population? If it is not appropriate, explain why it is not appropriate.

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Question 28

Your research hypothesis is "In the population, there is a difference in the average number of work days per year lost due to injury among the following groups: secretaries, professors, police officers, and ministers." What type of hypothesis test should be used?

(Multiple Choice)

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Question 29

What are the three rounds for analyzing a two-way ANOVA?

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Question 30

Does the one-way ANOVA research hypothesis claim that in the population, every group's mean differs from every other group's mean? Explain.

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Question 31

If race and gender have a significant interaction effect on years of schooling,

(Multiple Choice)

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Question 32

What kinds of questions can you answer using a one-way analysis of variance?

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Question 33

A researcher reports that her one-way ANOVA results were not significant. The following statistics are reported (F = 1.78, df = 7 and 1000, p = .13). How many groups were being compared and how big was the sample? A) # of groups being compared _ B) # of cases in the sample _

(Short Answer)

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Question 34

Why is one-way ANOVA better than repeated independent-sample t tests for comparing means for three or more groups?

(Multiple Choice)

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Question 35

What kinds of questions can you answer using a two-way analysis of variance?

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Question 36

On the basis of this output, which of the following is true? Tests of Between-Subjects Effects Dependent Variable:KIDSBEST Source Type III Sum of Squares df Mean Square F Sig. Corrected Model 4.23 5 .848 1.174 .325 Intercept 327.547 1 327.547 453.553 .000 MARRIED 3.631 2 1.816 2.514 .085 SEX .701 1 .701 .971 .326 MARRIED* SEX 1.790 2 .895 1.239 .293 Error 96.050 133 .722 Total 879.000 139 Corrected Total 100.288 138 a. R Squared $= .042 ($ Adjusted R Squared $= .006 )$

(Multiple Choice)

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Question 37

When are post hoc multiple-comparison results examined and when are they not examined?

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Question 38

Your research hypothesis is "In the population, the average number of work days per year lost due to injury is 3." What type of hypothesis test should be used?

(Multiple Choice)

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Question 39

You are reading a research article and you come across the following information: F = 26.94, df = 3 and 450, p = .001) A) How many groups are being compared? B) How many cases are included in the analysis?

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Question 40

Your research hypothesis is "In the population, there is a difference between men and women in the average number of work days per year lost due to injury." What type of hypothesis test should be used?

You are doing a one-way ANOVA. Your sample size is 1,000. Your factor (independent) variable has four categories. How many degrees of freedom will your F-ratio have? and degrees of freedom

When is an independent-samples t test used to compare group means and when is a one-way ANOVA used?

An author reports the following information about a one-way ANOVA: F = 0.95, df = 3 and 48, p = .231. Which of the following is true?

Your research hypothesis is "In the population, the average number of days female unauthorized immigrants stay in the U.S. is longer than the average number of days male unauthorized immigrants stay in the U.S." What type of hypothesis test should be used?

You are doing a one-way ANOVA. Your sample size is 500. Your factor (independent) variable has six categories. How many degrees of freedom will your F-ratio have? and degrees of freedom

Your research hypothesis is "In the population, there is a difference in the average number of work days per year lost due to injury among the following groups: secretaries, professors, police officers, and ministers." What type of hypothesis test should be used?

What are the three rounds for analyzing a two-way ANOVA?

Does the one-way ANOVA research hypothesis claim that in the population, every group's mean differs from every other group's mean? Explain.

If race and gender have a significant interaction effect on years of schooling,

What kinds of questions can you answer using a one-way analysis of variance?

A researcher reports that her one-way ANOVA results were not significant. The following statistics are reported (F = 1.78, df = 7 and 1000, p = .13). How many groups were being compared and how big was the sample? A) # of groups being compared _ B) # of cases in the sample _

Why is one-way ANOVA better than repeated independent-sample t tests for comparing means for three or more groups?

What kinds of questions can you answer using a two-way analysis of variance?

When are post hoc multiple-comparison results examined and when are they not examined?

Your research hypothesis is "In the population, the average number of work days per year lost due to injury is 3." What type of hypothesis test should be used?

You are reading a research article and you come across the following information: F = 26.94, df = 3 and 450, p = .001) A) How many groups are being compared? B) How many cases are included in the analysis?

Introduction

Data Sets

Frequency Tables and Univariate Charts

Central Tendency and Dispersion

Creating New Variables

Comparing Group Means

Crosstab Tables

Nominal and Ordinal Measures of Association

Pearsons Correlation and Bivariate Regression

Multiple Regression

Sampling Distributions and Normal Distributions

Hypothesis Testing and One-Sample T Tests

Paired and Independent-Samples T Tests

Chi-Square

Hypothesis Testing With Measures of Association and Regression

Filters

Exam 14: Analysis of Variance

Your research hypothesis is "In the population, there is a difference between men and women in the average number of work days per year lost due to injury." What type of hypothesis test should be used?

You are doing a one-way ANOVA. Your sample size is 1,000. Your factor (independent) variable has four categories. How many degrees of freedom will your F-ratio have? __________ and __________ degrees of freedom

When is an independent-samples t test used to compare group means and when is a one-way ANOVA used?

An author reports the following information about a one-way ANOVA: F = 0.95, df = 3 and 48, p = .231. Which of the following is true?

Your research hypothesis is "In the population, the average number of days female unauthorized immigrants stay in the U.S. is longer than the average number of days male unauthorized immigrants stay in the U.S." What type of hypothesis test should be used?

You are doing a one-way ANOVA. Your sample size is 500. Your factor (independent) variable has six categories. How many degrees of freedom will your F-ratio have? __________ and __________ degrees of freedom

Your research hypothesis is "In the population, there is a difference in the average number of work days per year lost due to injury among the following groups: secretaries, professors, police officers, and ministers." What type of hypothesis test should be used?

What are the three rounds for analyzing a two-way ANOVA?

Does the one-way ANOVA research hypothesis claim that in the population, every group's mean differs from every other group's mean? Explain.

If race and gender have a significant interaction effect on years of schooling,

What kinds of questions can you answer using a one-way analysis of variance?

A researcher reports that her one-way ANOVA results were not significant. The following statistics are reported (F = 1.78, df = 7 and 1000, p = .13). How many groups were being compared and how big was the sample? A) # of groups being compared ___________ B) # of cases in the sample ___________

Why is one-way ANOVA better than repeated independent-sample t tests for comparing means for three or more groups?

What kinds of questions can you answer using a two-way analysis of variance?

When are post hoc multiple-comparison results examined and when are they not examined?

Your research hypothesis is "In the population, the average number of work days per year lost due to injury is 3." What type of hypothesis test should be used?

You are reading a research article and you come across the following information: F = 26.94, df = 3 and 450, p = .001) A) How many groups are being compared? __________ B) How many cases are included in the analysis? __________

Introduction

Data Sets

Frequency Tables and Univariate Charts

Central Tendency and Dispersion

Creating New Variables

Comparing Group Means

Crosstab Tables

Nominal and Ordinal Measures of Association

Pearsons Correlation and Bivariate Regression

Multiple Regression

Sampling Distributions and Normal Distributions

Hypothesis Testing and One-Sample T Tests

Paired and Independent-Samples T Tests

Chi-Square

Hypothesis Testing With Measures of Association and Regression

Filters

You are doing a one-way ANOVA. Your sample size is 1,000. Your factor (independent) variable has four categories. How many degrees of freedom will your F-ratio have? and degrees of freedom

You are doing a one-way ANOVA. Your sample size is 500. Your factor (independent) variable has six categories. How many degrees of freedom will your F-ratio have? and degrees of freedom

A researcher reports that her one-way ANOVA results were not significant. The following statistics are reported (F = 1.78, df = 7 and 1000, p = .13). How many groups were being compared and how big was the sample? A) # of groups being compared _ B) # of cases in the sample _

You are reading a research article and you come across the following information: F = 26.94, df = 3 and 450, p = .001) A) How many groups are being compared? B) How many cases are included in the analysis?