Explanaintion and examples about Analysis of Variance When There Are Two Independent Variables: The Two-Factor ANOVA
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Q: Cola Weights Data Set 26 “Cola Weights and Volumes” in Appendix B lists the weights (lb) of the…
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Q: In the one-way ANOVA, the within-groups variance estimate is like _________ in two-way ANOVA. Group…
A: In the one-way ANOVA, the within-groups variance estimate is like _________ in two-way ANOVA.…
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Q: Statistics students in Oxnard College sampled 11 textbooks in the Condor bookstore, and recorded…
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Q: tatistics students in Oxnard College sampled 10 textbooks in the Condor bookstore, and recorded the…
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Explanaintion and examples about Analysis of Variance When There Are Two Independent Variables: The Two-Factor ANOVA
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- Infectious Disease Commonly used vaccines for influenza are trivalent and contain only one type of influenza B virus. They may be ineffective against other types of influenza B virus. A randomized clinical trial was performed among children 3 to 8 years of age in 8 countries. Children received either a quadrivalent vaccine (QIV) that had more than one influenza B virus or a trivalent Hepatitis A vaccine (control). An attack rate (i.e.,% of children who developed influenza) starting 14 days after vaccination until the end of the study was computed for each vaccine group, stratified by age. The following data were reported. age QIV group 3-4 5-8 3.75 1.71 Control group 5.64 5.17 (a) Suppose 3 children in a village ages 3, 5, and 7 are vaccinated with the QIV vaccine. What is the probability that at least one child among the 3 will get influenza? (Round your answer to four decimal places.) (b) Suppose that 80% of 3-4-year-old children and 70% of 5-8-year-old children in a village are…Analysis of Variance results: Where: Age > 5Responses: AgeFactors: Sex Response statistics by factor Sex n Mean Std. Dev. Std. Error female 121 10.490083 4.2222704 0.38384277 male 155 9.0806452 3.0091656 0.241702 ANOVA table Source DF SS MS F-Stat P-value Sex 1 134.98939 134.98939 10.466692 0.0014 Error 274 3533.79 12.897044 Total 275 3668.7794 Tukey HSD results (95% level) female subtracted from Difference Lower Upper P-value male -1.4094375 -2.2670907 -0.55178425 0.0014 In one complete sentence, interpret your confidence interval. Make sure in the interpretation it is clear the direction of the difference (i.e. which gender weighs more and by how much. Explain why a confidence interval provides more information to a tiger researcher than the results of a hypothesis testAnalysis of Variance (ANOVA) o What is an Analysis of Variance test? o When do we use Analysis of Variance test? Nominal scale-definition and example Interval scale-definition and example o Examples of an Analysis of Variance test o Hypotheses for an Analysis of Variance test o Applying SPSS software to conduct an Analysis of Variance test o Interpreting the results of an Analysis of Variance test
- Tests of Between-Subjects Effects df Mean Square F Dependent Variable Game Score Type II Sum Source: of Squares Sex 117.042 473 029 Handedness 605 6004 000 000 Sex Handedness 210.333 624 051 Error 3913 250 18 Total 232005.000 a. R Squared = 618 (Adjusted R Squared=512) Using the the value of "Mean Square", or variance, you calculated for the interaction between sex and handedness and error, calculate F- obt for the interaction. Use the rounded numbers from your calculations. Round your answer to 2 decimal places. Sig Partial Eta SquaredStatistics students in Oxnard College sampled 10 textbooks in the Condor bookstore and recorded the number of pages in each textbook and its cost. The bivariate data is shown below, Number of Pages (x) 989 642 965 335 767 485 525 781 579 464 Cost(y) 83.23 62.94 80.55 26.45 67.69 51.95 46.75 65.67 46.53 48.48 Click to Copy-and-Paste Data A student calculates a linear model x + y = (Please show your answers to two decimal places) Use the model above to estimate the cost when the number of pages is 669 Cost = $ (Please show your answer to 2 decimal places.)Statistics students in Oxnard College sampled 11 textbooks in the Condor bookstore and recorded the number of pages in each textbook and its cost. The bivariate data are shown below: Number of Pages (x) Cost(y) 724 122.6 379 61.85 782 112.3 250 48.5 390 61.5 574 100.1 325 60.75 894 131.1 396 74.4 450 76.5 827 133.05 A student calculates a linear model (Please show your answers to two decimal places) y = Use the model to estimate the cost when number of pages is 992. x + Cost = $ (Please show your answer to 2 decimal places.)
- Quantitative Research Statistical Data Analysis using Software ( SPSS / PLS - SEM ) 1 ) Study the provided videos on preparing and testing SPSS / PLS - SEM 2 ) Interpret the data which has been presented in the below Table 1 and Table 2Diet Regular Data on the weights (Ib) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Use a 0.05 significance level. P2 21 21 0.79292 Ib 0.80886 Ib 0.00754 lb 0.00441 Ib Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and altemative hypotheses? O A. Ho: H1 = H2 H: 41 > H2 O B. Ho: H1 = H2 H: H H2 O C. Ho: Hi # Hz Hq:HqConsidering that the dependent variable (DV) is categorical, what ANOVA procedure would you like to use if there is a single between-subject IV with two groups? Group of answer choices One-Way ANOVA Two-way ANOVA Split-Plot ANOVA Repeated Measures ANOVA None of the AboveА, B, Two-Sample T-Test and Cl: Coin4, Coin1 E COINS (2)MWx Two-Sample T-Test and Cl: Coin4, Coin1 Method Method : mean of Coind Pa mean of Coin1 Difference: -a u mean of Coin4 a mean of Coint Difference: - Pa Equal voriances are assumed for this analysis Equal variances ore assumed for this analysis. Descriptive Statistics Sample Descriptive Statistics Coind Coint N Mean StDev SE Mean 5614 6.744 0.363 0543 0.14 0.18 Sample N Mean StDev SE Mean Coind 5.614 0.363 0.14 Coin1 9 6.744 0.543 018 Estimation for Difference Estimation for Difference 90% CI for Pooled StDev 0.474 (-1.551-0.709) Difference Difference 90% CI for Pooled StDev 0.474 -1551,-0.709) -1.130 Difference 1.130 Difference Test Test Null hypothesis Alternative hypothesis H,: H - Pz # 0 T-Value DF p-Value Null hypothesis He - Ha 0 Alternative hypothesis H u - Hz # 0 T-Value DF P-Value 14 -473 14 0.000 -473 0.000 Question: Testing the silver content of coin 4 and coin 1. Now if it switches the two-sample t-test around it…Free experiment comparing more than two treatment conditions you should initially Run one ANOVA Rather than many separate p r y size comparisons because ANOVA Has less risk of type 1 error/ Alpha error because me several means are compared in one test a test paste on variance is more sensitive than a test based on means ANOVA has less risk of type 2 error/ beta error because several means are compared in one test you are less likely to make a mistake in the computation of a single test
