Statistical Tests Explained

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson
Download our mobile app to listen on the go
Get App

Questions and Answers

When is the Welch's T-test most appropriate to use?

  • To test if the average customer spending differs from the known population average.
  • To compare means from two groups with equal variances and sample sizes.
  • To compare means from paired observations.
  • To compare means from two groups with unequal variances and/or sample sizes. (correct)

Which statistical test is used to determine if there is a relationship between the country of birth of medical school applicants and acceptance into medical school?

  • Mann-Whitney U Test
  • Paired T-Test
  • Chi-Squared Test (correct)
  • Fisher's Exact Test

If you want to predict the likelihood of a binary outcome, such as whether a patient will develop heart disease based on various health factors, which statistical test is most suitable?

  • Pearson's Correlation
  • Simple Linear Regression
  • Multiple Regression
  • Logistic Regression (correct)

Which test would be appropriate if you wanted to compare the average weight of infants before and after a feeding?

<p>Paired T-Test (D)</p> Signup and view all the answers

What's the primary purpose of using Factor Analysis?

<p>To reduce a large number of variables into a smaller set of factors. (A)</p> Signup and view all the answers

When should the Mann-Whitney U Test be used?

<p>When comparing two independent groups and the data is not normally distributed. (B)</p> Signup and view all the answers

Which of the following tests is used to compare satisfaction levels across different departments in a company?

<p>ANOVA (A)</p> Signup and view all the answers

When is it most appropriate to use the Kruskal-Wallis Test?

<p>As a non-parametric alternative to ANOVA for comparing three or more independent samples. (D)</p> Signup and view all the answers

A researcher wants to assess the relationship between education level and income without assuming a linear relationship. Which test is appropriate?

<p>Spearman's Rank Correlation (D)</p> Signup and view all the answers

Which statistical test is designed to model the linear relationship between two variables?

<p>Simple Linear Regression (B)</p> Signup and view all the answers

A study aims to determine how age, body fat, and sodium intake influence blood pressure. Which statistical test is most suitable for this analysis?

<p>Multiple Regression (C)</p> Signup and view all the answers

When would you use a Z-test rather than a T-test?

<p>When the population variance is known and the sample size is large. (C)</p> Signup and view all the answers

In what scenario is Fisher's Exact Test most applicable?

<p>Analyzing small samples in 2x2 contingency tables. (D)</p> Signup and view all the answers

Which of the following tests is a non-parametric test used for correlation?

<p>Spearman's Rank Correlation (D)</p> Signup and view all the answers

What type of analysis would be used to summarize the average age and standard deviation of students in a class?

<p>Descriptive Statistics (D)</p> Signup and view all the answers

A researcher is analyzing customer satisfaction scores between two product lines. Which statistical test is most appropriate for this analysis?

<p>Mann-Whitney U Test (B)</p> Signup and view all the answers

A researcher wants to determine if plasma glucose level differs at one, two, or three hours after a meal. Which statistical test should they use?

<p>ANOVA (A)</p> Signup and view all the answers

Which statistical test could be used to compare girls' heights with boys' heights?

<p>T-Test (Student's) (B)</p> Signup and view all the answers

If you have test scores from two classes with different sizes and unequal variances, which test is most appropriate to compare the scores?

<p>Welch's T-Test (B)</p> Signup and view all the answers

Which test would be appropriate to determine if a new drug is effective in a small clinical trial?

<p>Fisher's Exact Test (C)</p> Signup and view all the answers

Signup and view all the answers

Flashcards

Descriptive Statistics

Summarizes dataset features, providing measures of central tendency and variability.

Z-Test

Compares a sample mean to a known population mean when the population variance is known and samples are large.

T-Test (Student's)

Compares means from two groups with smaller samples and unknown population variance.

Paired T-Test

Assesses the difference in means between paired observations.

Signup and view all the flashcards

Welch's T-Test

A T-test adaptation used when dealing with unequal variances and/or sample sizes among two groups.

Signup and view all the flashcards

Chi-Squared Test

Tests the association between categorical variables using categorical data analysis.

Signup and view all the flashcards

Fisher's Exact Test

Tests association between classifications with small samples and 2x2 contingency tables.

Signup and view all the flashcards

Mann-Whitney U Test

A non-parametric test to compare two independent groups.

Signup and view all the flashcards

ANOVA

Analyzing variance between multiple groups, comparing means of 3+ groups.

Signup and view all the flashcards

Kruskal-Wallis Test

A non-parametric alternative to ANOVA, comparing 3+ independent samples.

Signup and view all the flashcards

Pearson's Correlation

Measures the strength of the linear relationship between two variables.

Signup and view all the flashcards

Spearman's Rank Correlation

Measures the monotonic relationship strength using non-parametric correlation.

Signup and view all the flashcards

Simple Linear Regression

Models the linear relationship between two variables.

Signup and view all the flashcards

Multiple Regression

Predicts a dependent variable from multiple independent predictors, with one dependent and multiple independent variables.

Signup and view all the flashcards

Logistic Regression

Predicts the probability of a binary outcome, with a binary dependent variable.

Signup and view all the flashcards

Factor Analysis

Reduces variables to a smaller set of factors, identifying underlying factors.

Signup and view all the flashcards

Study Notes

  • Statistical tests are tools used to analyze data and draw conclusions.

Descriptive Statistics

  • Used to summarize dataset features
  • Provides measures of central tendency and variability
  • Example: Calculating average age and standard deviation of students in a class

Z-Test

  • Used with large samples and known population variance
  • Compares a sample mean to a known population mean
  • Example: Testing if average customer spending differs from the known population average

T-Test (Student's)

  • Used with smaller samples and unknown population variance
  • Compares means from two groups
  • Example: Comparing girls' heights with boys' heights

Paired T-Test

  • Used when comparing two related samples
  • Assesses the difference in means between paired observations
  • Example: Comparing the weight of infants before and after a feed

Welch's T-Test

  • Used when there are unequal variances and/or sample sizes
  • T-test adaptation for unequal variances
  • Example: Comparing test scores between two classes with different sizes

Chi-Squared Test

  • Used for categorical data analysis
  • Tests the association between categorical variables
  • Example: Assessing whether acceptance into medical school is related to an applicant's country of birth

Fisher's Exact Test

  • Used with small samples and 2x2 contingency tables
  • Tests the association between classifications
  • Example: Analyzing if a new drug is effective in a small clinical trial

Mann-Whitney U Test

  • A non-parametric test for two groups
  • Compares two independent groups
  • Example: Comparing customer satisfaction scores between two product lines

ANOVA

  • Used when comparing means of 3+ groups
  • Analyzes variance between multiple groups
  • Example: Determining if plasma glucose level differs at one, two, or three hours after a meal

Kruskal-Wallis Test

  • A non-parametric alternative to ANOVA
  • Compares 3+ independent samples
  • Example: Comparing satisfaction levels across different departments in a company

Pearson's Correlation

  • Used for measuring the association between variables
  • Assesses linear relationship strength
  • Example: Assessing whether plasma HbA1 concentration is related to plasma triglyceride concentration in diabetic patients

Spearman's Rank Correlation

  • A non-parametric correlation method
  • Measures monotonic relationship strength
  • Example: Analyzing the relationship between education level and income

Simple Linear Regression

  • Used to find the relationship between two variables
  • Models linear relationship between variables
  • Example: Seeing how peak expiratory flow rate varies with height

Multiple Regression

  • Used with one dependent and multiple independent variables
  • Predicts dependent variable from multiple predictors
  • Example: Determining how age, body fat, and sodium intake influence blood pressure

Logistic Regression

  • Used with a binary dependent variable
  • Predicts the probability of a binary outcome
  • Example: Predicting the likelihood of heart disease based on various health factors

Factor Analysis

  • Used for identifying underlying factors
  • Reduces variables to a smaller set of factors
  • Example: Identifying underlying personality traits from a set of survey questions

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team

Related Documents

IMG_7541.jpeg

More Like This

Use Quizgecko on...
Browser
Browser