What is the mathematical reasoning behind how linear contrasts are used for a priori comparison of means after an ANOVA?
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What is the mathematical reasoning behind how linear contrasts are used for a priori comparison of means after an ANOVA?
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- Males under the age of 25 must pay far higher auto insurance premiums than females in this age group. How does this fact relate to statistical discrimination? Statistical discrimination implies that discrimination can persist indefifinitely, while the taste-for-discrimination model suggests that competition might reduce discrimination in the long run. Explain the difference.Qualitative researchers should view the opinions of other researchers about the themes derived from data analysis as biased. This is because other researchers would not be as familiar with the results as the researcher. True False A researcher has conducted a crosstabs analysis to understand the distribution of income across 3 different gender groups (male, female and non-binary). They notes that the Chi-square test produced an asymptotic significance level of 0.027. What does this suggest? (pick the most appropriate interpretation) Income does not vary across different genders Income does not differ across the different grouops There are significant differences in the distribution of income for the male, female and non-binary groups The male group has sufficiently more income compared to the female and non-binary groupsA researcher wanted to study the relationship between coffee drinking and heart problems. She interviewed all patients at several area hospitals and found that patients in the hospital for treatment of heart problems drank an average of 2.7 cups of coffee per day (Margin of error is 1.4 cups) while those patients being treated for other problems averaged only 1.4 cups of coffee per day (Margin of error is 0.8 cups). What conclusion can you draw about coffee as a cause of heart problems from this information?A) Coffee is bad for you.B) Coffee is good for you.C) Heart patients drink more coffee than other patients.D) None, because only patients in hospitals were interviewed.
- Knee injury: The anterior cruciate ligament (ACL) runs diagonally in the middle of the knee. An article in a respected journal reports results for 94 people who had suffered ACL injuries. Of the 94 injuries, 55 were to the left knee and 39 were to the right knee. Can you conclude that the percent of ACL injuries to the left knee differs from 50%? Use the a= 0.01 level of significance. Here are the null and alternative hypotheses. Ho: P = 0.5 H₁:P +0.5 Part: 0 / 2 Part 1 of 2 (a) What is the P-value? Round your answer to four decimal places. The P-value is XFor two way ANOVA model, a significant interaction effect implies that both predictors(factors) have an effect on the average response value Select one: a. False b. TrueThe Pearson r test is a significance test used to determine whether a linear relationship exists between two variables measured on interval or ratio scales. True or false?
- A warehouse manager wants to determine if there are productivity differences among his three shifts (morning shift, evening shift, or night shift). He measures the average number of units shipped per shift over the course of a month. He uses an ANOVA to analyze the difference among the shifts. He determined that the F value observed indicated a non-significant difference. What can he conclude from this? Data show that there is a significance difference among the 3 shifts Data show that the morning shift ships more units than the afternoon shift which ships more than the night shift Data does not indicate which shifts are different unless a Tukey's HSD test is also conducted. Data shows that the shifts have equivalent productivityTrue or False: For both AIC and BIC (two statistics we often use to compare model fit), the model with higher values of AIC or BIC is considered a better fit to the data.What does less replicates mean in the context of understanding variance of data?
- Define Omitted Variable Bias? Explain Solutions to omitted variable bias when the variable is observed or there are adequate control variables?A bank wants to determine whether a customer's preference for using cash or credit can be used to predict whether they will answer the phone on a weekday evening. What would be the most appropriate procedure to use to analyze data to answer this question? Only choose a test that handles multiple comparisons If such a test is needed. Regression Test of Slope or Correlation O Test for a Difference of Proportions O Test for a Difference of Means O Chi-square test of association O ANOVA (Analysis of Variance)When should you use a one-way ANOVA to analyze your data? Distinguish between one–way ANOVA for independent groups and a one–way Repeated Measures ANOVA.
