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- Suppose they conducted another set of experiment with increased sample size and saw that the three caffeine concentrations resulted to a different mean adenine concentration. Table below showed summary of Tukey’s HSD. Summarize the result of Tukey’s HSD in Table 2 and provide synthesis, given 5% level of significance. Table 1. Matrix of HSD’s test result for the experiment Treatments Mean difference p - value 0mM – 5mM 2.6283 <0.001 *** 0mM – 10mM 3.9383 0.0112 * 5mM – 10mM 1.3100 0.2458 Table 2. Summary of HSD’s result Treatment Mean SD Summary (in letter or in dot form) 0mM 6.0233 1.1508026 5mM 3.3950 1.8064855 10mM 2.0850 0.9490153 Synthesis: ________________________________________________________ ________________________________________________________ ________________________________________________________ ________________________________________________________The structure of a two-factor study can be presented as a matrix, with one factor determining the rows and the second factor determining the columns. With this structure in mind, identify the three separate hypothesis tests that make up a two-factor ANOVA, and explain the purpose of each test. Describe the mean differences that are evaluated by each of the three hypothesis test.You are asked to evaluate 'Introduction to the Matrix' from the statistical data of thefollowing seven (7) 'Introduction to the Matrix' course grade distributions: Class A Class B Class C Class D Class E Class F Class G Mean 71.8 75.2 73.8 82.2 79.6 78.0 73.7 Median 79.3 78.5 80.1 83.4 81.4 77.6 75.9 Mode 80.1 78.5 80.5 83.0 81.0 78.0 70.0 Std Dev 18.6 15.9 15.5 5.1 11.4 7.0 15.1 Students 24 23 14 17 29 18 13 Which 3 'Introduction to the Matrix' classes would you most likely suspectto be possible outliers from these 7 classes?
- You are conducting a test of independence for the daim that there is an association between the row variable and the column variable. Red Blue Green Male 23 35 25 Female 23 13 60 What is the chi-square test-statistic and the corresponding p-value for this data? x² - [three decimal accuracy] p-value [three decimal accuracy]A local teacher wants to see if teaching writing in different ways impacts student learning. She has two classes of similar characteristics. In one class, she will use Teaching Strategy A and in the other class she will use Teaching Strategy B. She collects student test scores and is ready to run her analysis in Microsoft Excel. Which test should she choose from the menu? Descriptive Statistics t-Test: Paired Two Sample for Means t-Test: Two-Sample Assuming Equal Variance Fourier AnalysisA factorial experiment was designed to test for any significant differences in the time needed to perform English to foreign language translations with two computerized language translators. Because the type of language translated was also considered a significant factor, translations were made with both systems for three different languages: Spanish, French, and German. Use the following data for translation time in hours. Language Spanish French German System 1 7 12 14 11 16 18 System 2 7 17 16 11 19 22 Test for any significant differences due to language translator system (Factor A), type of language (Factor B), and interaction. Use a = Complete the following ANOVA table (to 2 decimals, if necessary). Round your p-value to 4 decimal places. Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Factor A Factor B Interaction Error Total The p-value for Factor A is -Select your answer- 00000 What is your conclusion with respect to Factor A? - Select your answer-…
- A. develops a correlation matrix. Round 3 decimal places. Negative signs if needed. A-2 Do you see any problems with multicollinearity? There is? B-1 Determine the regression equation. Round 3 decimal places. B-2 What is the value of R2. Round 3 decimal places And also compute the AnovaFor data that can be arranged in a 2 x 2 matrix, we can use Chi-Squared to test independence, or treat it as a comparison of two binomial probabilities from two populations. We only knew to use the two proportion t-test in Assignment 27.10. We then learned in the video that you were supposed to view before starting this assignment to perform a test for independence using chi-squared. This is the same data from Assignment 27.10. Perform a hypothesis test to determine, "Do we have statistically significant evidence that gun ownership and views on the death penalty are independent?" Suppose we asked the (self described) head-of-household in 180 Alaska households two questions: "Does your family own a gun?" And "Do you believe criminals who commit first degree murder should face The Death Penalty?" In our sample, 100 households owned a gun and 70 them favored the death penalty. Of the remaining 80 households who did not own a gun, 44 favored the death penalty. The data are summarized in…A factorial experiment was designed to test for any significant differences in the time needed to perform English to foreign language translations with two computerized language translators. Because the type of language translated was also considered a significant factor, translations were made with both systems for three different languages: Spanish, French, and German. Use the following data for translation time in hours. Language Spanish French German System 1 6. 12 12 10 16 16 System 2 6 15 16 10 17 22 Test for any significant differences due to language translator system (Factor A), type of language (Factor B), and interaction. Use a = .05. Complete the following ANOVA table (to 2 decimals, if necessary). Round your p-value to 4 decimal places. Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Factor A Factor B Interaction Error Total