What is the mathematical reasoning behind how linear contrasts are used for a priori comparison of means after an ANOVA?
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- The Chi-Square analysis provides researchers with a specific estimate of the overall significance for the relationship between an outcome and a categorical exposure variable when there are more than 2 categories, but in order to assess the individual relationships, researchers should calculate individual risk ratios. True FalseQualitative 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 groups7. True or False? The r2 value and a least squares regression line can be an excellent way to demonstrate the degree of correlation between two variables, and the type of association between the two variables.
- 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.True or false: A proper line regression can be used to predict values of the response variable from absurd values of the explanatory variable.3) The researchers want to know if female birds spend more time resting than male birds. There are some female birds that spend more time resting than average male, and some males that spend more time resting than the average female. The researchers decide that they need to use inferential statistics to test for a difference between male and female birds. Which statistical test should the use to analyze their data in this way? O Correlation O Regression T-test O ANOVA
- 2b) • Using a Graphing calculator or spreadsheet program, create the least squares regression line of the median student loan debt for graduates versus the average salary after 10 years. Be sure to define any variables. • Identify and interpret the correlation coefficient and coefficient of determination. • By looking at the scatterplot and the least squares regression line, determine the college that you believe is the best value. Explain your reasoning. • Using the college (Harvard University) you chose, identify and interpret its residual based on the least squares regression model.Do test scores at pre-treatment differ from test scores at post-treatment? Note, this analysis should be conducted ignoring the treatment group they are in. Do male and female subjects differ on their pre-test score performance? Knowing the number of hours the student studied for the exam, can you predict their post-test scores? Is there a significant relationship between subject’s IQ and pre-test scores? Do the three treatments differ significantly from one another at pre-test? Do student IQ scores differ significantly from the population (μ = 100 & σ = 15)? Create your own research question based on the data. (All analyses are to be tested at α =.05, two tailed)Why is it important to make sure that the measures you use in your research projects are valid an reliable (have validity and reliability)?
