Inferential Statistics: Shapiro-Wilk Test and Normal Distribution

WorthyDifferential avatar
WorthyDifferential
·
·
Download

Start Quiz

Study Flashcards

27 Questions

Which measure should be used when the data is not normally distributed to represent the central tendency?

Median

What do confidence intervals provide information about?

Variability

What does SEM (Standard Error of the Mean) measure?

Variability within the sample

Which test should be used when the data is not normally distributed?

Non-parametric test

What does an F-Test assess for when comparing two populations?

Variability differences

What does a Q-Q plot help determine about the data?

Normal distribution

What is the main purpose of the Shapiro-Wilk test?

To test if the data differs significantly from a normal distribution

What does a p-value ≤ 0.05 indicate in the Shapiro-Wilk test?

The data is significantly different from a normal distribution

What are we trying to find evidence for when testing for normal distribution?

That the data is not normally distributed

What is a common misconception in statistical testing?

We are trying to prove that the data is normally distributed

What is the purpose of statistical tests, according to the text?

To make inferences about a population

What is the significance of a p-value less than or equal to 0.005?

It indicates a highly significant difference.

Which type of data is best represented by a histogram?

Univariate data with continuous values.

What does it mean if we reject our null hypothesis (H0)?

We accept the alternative hypothesis (H1).

If a data set is normally distributed, what is a good indicator of the data collected?

Mean

What type of data representation should be used for multivariate data?

Scatter plot

What is the purpose of inferential statistics?

To make general conclusions based on limited data

What is the purpose of a control group in an experiment?

To act as a benchmark for the experimental intervention

What is the null hypothesis, H0, in an experiment?

The world as we see it now; before the experiment

What is the importance of a hypothesis being falsifiable?

It is central to the scientific method

What is the purpose of the p-value in hypothesis testing?

To determine the statistical significance of the results

What is a common mistake when interpreting the null hypothesis?

Assuming that a non-significant result proves H0

What is the purpose of the F-test?

To test for homogeneity of variance

What is the alpha level in the given table?

0.05

What can be concluded if the p-value of the F-test is less than 0.05?

The variances are significantly different

What is the purpose of the Shapiro-Wilk test?

To determine if the data is significantly different from normal

What can be concluded if the p-value is 0.09?

The difference is not significant

Learn about the Shapiro-Wilk test for normality in statistics, including understanding H0 and H1, interpreting p-values, representing data graphically, and testing for variance homogeneity. Explore why statistical tests are important and how to determine if data deviate significantly from a normal distribution.

Make Your Own Quizzes and Flashcards

Convert your notes into interactive study material.

Get started for free
Use Quizgecko on...
Browser
Browser