Statistical Test Flashcards
What is a statistical test?
A statistical test is a method used to determine whether there is enough evidence to reject a null hypothesis.
True or False: A null hypothesis typically states that there is no effect or no difference.
True
Fill in the blank: The __________ is a threshold for determining whether to reject the null hypothesis.
p-value
What does a p-value less than 0.05 typically indicate?
It indicates that there is statistically significant evidence to reject the null hypothesis.
What is the purpose of a t-test?
A t-test is used to compare the means of two groups to determine if they are statistically different from each other.
Multiple Choice: Which of the following is NOT a type of t-test? A) Independent t-test B) Paired t-test C) ANOVA D) One-sample t-test
C) ANOVA
What is ANOVA used for?
ANOVA (Analysis of Variance) is used to compare means among three or more groups.
True or False: The Chi-square test is used for categorical data.
True
What does the term ‘effect size’ refer to?
Effect size refers to the magnitude of a relationship or the strength of a phenomenon in a statistical analysis.
Fill in the blank: The __________ test is used to assess whether two categorical variables are independent.
Chi-square
What is the main assumption of parametric tests?
Parametric tests assume that the data follows a normal distribution.
Multiple Choice: Which of the following tests is used for non-parametric data? A) t-test B) Mann-Whitney U test C) ANOVA D) Z-test
B) Mann-Whitney U test
What is the Wilcoxon signed-rank test used for?
It is used to compare two related samples or repeated measurements on a single sample.
True or False: The Kruskal-Wallis test is the non-parametric equivalent of ANOVA.
True
What does a Type I error represent?
A Type I error occurs when the null hypothesis is incorrectly rejected when it is actually true.
What is a Type II error?
A Type II error occurs when the null hypothesis is not rejected when it is false.
Fill in the blank: A __________ test is used to compare the means of two related groups.
paired t-test
What is the purpose of post-hoc tests?
Post-hoc tests are used to determine which specific groups’ means are different after finding a significant result in ANOVA.
Multiple Choice: Which of the following is a common post-hoc test? A) Bonferroni B) Z-test C) Chi-square D) t-test
A) Bonferroni
What is the significance level commonly used in hypothesis testing?
0.05
True or False: A smaller p-value indicates stronger evidence against the null hypothesis.
True
What is the main difference between one-tailed and two-tailed tests?
One-tailed tests assess the direction of an effect, while two-tailed tests assess for any effect in both directions.
Fill in the blank: The __________ test is commonly used to compare the variance between two populations.
F-test
What does the term ‘normal distribution’ refer to?
A normal distribution is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence.
Multiple Choice: Which of the following is an assumption of ANOVA? A) Homogeneity of variances B) Independence of observations C) Normality of residuals D) All of the above
D) All of the above
What is the purpose of the Shapiro-Wilk test?
The Shapiro-Wilk test is used to assess the normality of data.
True or False: A large sample size can compensate for violations of normality.
True
What does the term ‘sample size’ refer to?
Sample size refers to the number of observations or data points collected for a statistical analysis.
Fill in the blank: The __________ is a measure of how much the sample mean is expected to vary from the true population mean.
standard error
What is the purpose of confidence intervals?
Confidence intervals provide a range of values that are likely to contain the population parameter with a specified level of confidence.
Multiple Choice: Which of the following is NOT a type of statistical test? A) Z-test B) F-test C) K-test D) t-test
C) K-test
What does it mean if a test is statistically significant?
It means that the results are unlikely to have occurred by chance, and the null hypothesis can be rejected.
True or False: Statistical power is the probability of correctly rejecting the null hypothesis.
True
What is the main factor that affects statistical power?
Sample size is the main factor that affects statistical power.
Fill in the blank: The __________ test is used to compare proportions between two groups.
Z-test
What is the main focus of regression analysis?
Regression analysis focuses on the relationship between a dependent variable and one or more independent variables.
Multiple Choice: Which regression model is used for binary outcomes? A) Linear regression B) Logistic regression C) Polynomial regression D) None of the above
B) Logistic regression
What is multicollinearity?
Multicollinearity refers to the situation in which two or more independent variables in a regression model are highly correlated.
True or False: Outliers can have a significant impact on regression analysis.
True
What is the main assumption of linear regression?
The main assumption of linear regression is that the relationship between the independent and dependent variables is linear.
Fill in the blank: The __________ is a statistic used to assess the goodness of fit of a regression model.
R-squared
What is the purpose of a residual plot?
A residual plot is used to assess the validity of a regression model by examining the residuals for patterns.
Multiple Choice: Which of the following is a criterion for choosing a statistical test? A) Type of data B) Sample size C) Research question D) All of the above
D) All of the above
What is a paired sample?
A paired sample consists of two related observations or measurements taken from the same subject.
True or False: Non-parametric tests do not assume a specific distribution for the data.
True
What is the main advantage of using non-parametric tests?
Non-parametric tests can be used with data that do not meet the assumptions of parametric tests.
Fill in the blank: The __________ test is used when comparing two independent samples.
independent t-test
What is the purpose of the Bonferroni correction?
The Bonferroni correction is used to reduce the chances of Type I errors when conducting multiple comparisons.
Multiple Choice: Which of the following is NOT an assumption of linear regression? A) Homoscedasticity B) Normality of residuals C) Independence of variables D) Linearity
C) Independence of variables
What is the significance of the F-statistic in ANOVA?
The F-statistic is used to determine whether the variances between the groups are significantly different.
True or False: A confidence interval can be used to estimate the range of a population parameter.
True
What does it mean if a confidence interval does not include zero?
It suggests that there is a statistically significant difference between the groups being compared.
Fill in the blank: A __________ is a statistical method for summarizing and analyzing the relationship between variables.
statistical model
What is the purpose of hypothesis testing?
Hypothesis testing is used to make inferences about populations based on sample data.
Multiple Choice: Which test is appropriate for comparing the means of three or more groups? A) t-test B) Chi-square test C) ANOVA D) Z-test
C) ANOVA
What is a confounding variable?
A confounding variable is an external factor that can affect the relationship between the independent and dependent variables.
True or False: Statistical tests can provide definitive proof of a hypothesis.
False
What does the term ‘data distribution’ refer to?
Data distribution refers to how the values of a variable are spread or arranged.
Fill in the blank: A __________ is a graphical representation of the frequency distribution of a dataset.
histogram
What is the main purpose of descriptive statistics?
Descriptive statistics summarize and describe the main features of a dataset.
Multiple Choice: Which of the following is NOT a measure of central tendency? A) Mean B) Median C) Mode D) Variance
D) Variance
What is the interquartile range?
The interquartile range is the difference between the first quartile (Q1) and the third quartile (Q3) in a dataset.
True or False: Outliers can skew the results of statistical tests.
True
What is the purpose of a control group in an experiment?
A control group is used as a benchmark to compare the effects of the treatment or intervention.
Fill in the blank: The __________ method is a technique used to estimate the sample size required for a study.
power analysis
What is the central limit theorem?
The central limit theorem states that the sampling distribution of the sample mean will be normally distributed, regardless of the shape of the population distribution, given a sufficiently large sample size.
Multiple Choice: Which of the following describes a normal distribution? A) Skewed left B) Skewed right C) Symmetrical bell-shaped curve D) Uniform
C) Symmetrical bell-shaped curve
What is the difference between descriptive and inferential statistics?
Descriptive statistics summarize data, while inferential statistics make predictions or inferences about a population based on a sample.
True or False: A larger sample size can increase the reliability of a statistical test.
True
What is a scatter plot used for?
A scatter plot is used to visualize the relationship between two quantitative variables.
Fill in the blank: The __________ is the average of a set of values.
mean
What is the mode?
The mode is the value that appears most frequently in a dataset.
Multiple Choice: Which of the following is a measure of variability? A) Mean B) Median C) Standard deviation D) Mode
C) Standard deviation
What is a box plot used for?
A box plot is used to display the distribution of a dataset and identify outliers.
True or False: Statistical significance does not imply practical significance.
True
What is the purpose of random sampling?
Random sampling ensures that every individual in a population has an equal chance of being selected, reducing bias.
Fill in the blank: The __________ is a statistical method used to analyze the relationship between two variables.
correlation coefficient