Final Study Notes Flashcards
What research contexts is the Chi-Square test commonly used?
Epidemiology, sociology, market research, etc.
How are significant differences determined in post hoc tests?
By comparing adjusted p-values or confidence intervals.
What is the purpose of regression analysis?
To make predictions based on the relationship between variables.
What assumptions are made in ANOVA?
The main assumptions are normality, homogeneity of variances, and independence of observations.
In what situations is the Chi-Square test commonly used?
It is used for analyzing categorical data to determine associations or goodness-of-fit.
What are degrees of freedom?
They represent the number of independent pieces of information available for estimation.
How is the standard error of the mean interpreted?
It indicates the variability of sample means around the population mean.
How are regression results interpreted?
By examining the significance of coefficients, coefficient of determination, and residuals.
What are post hoc tests in ANOVA?
They are used to determine which specific group means differ significantly from each other after obtaining a significant ANOVA result.
How is the Chi-Square test statistic calculated?
It involves summing the squared differences between observed and expected frequencies divided by the expected frequencies.
What does the Chi-Square test for goodness-of-fit compare?
It compares observed frequencies to expected frequencies based on a known distribution.
What are the components of the Chi-Square test?
observed frequencies, expected frequencies, and the Chi-Square test statistic.
What does the Chi-Square test of independence determine?
if there is a relationship between two categorical variables.
What does the coefficient of determination indicate in regression analysis?
It represents the proportion of the variance in the dependent variable explained by the independent variable.
What is the decision rule in hypothesis testing?
If the p-value is less than the significance level, reject the null hypothesis; otherwise, fail to reject it.
How is a confidence interval interpreted?
a range within which the population parameter is estimated to lie with a certain level of confidence.
How is the standard error of the mean calculated?
Population standard deviation divided by the square root of the sample size.
What assumptions are made in the Chi-Square test?
Independence of observations and expected frequencies.
How many degrees of freedom are involved in ANOVA?
one for between-groups and one for within-groups.
How is the regression equation interpreted?
It predicts the value of the dependent variable based on the value of the independent variable.
What is the range of correlation coefficients?
-1 to 1.
How is the strength of correlation interpreted?
Close to 1 for strong positive/negative correlation, close to 0 for weak correlation.
How is the F-statistic interpreted in ANOVA?
It compares between-group variance to within-group variance.
What are the steps involved in conducting a Chi-Square test?
Data collection, expected frequency calculation, test statistic calculation, and interpretation.
In what fields is regression analysis commonly used?
Psychology, economics, public health, and many others.
What is Type II error in hypothesis testing?
Accepting the null hypothesis when it’s false.
What are the limitations of the Chi-Square test?
It assumes independence of observations and may not handle small expected frequencies well.