• Skip to secondary menu
  • Skip to main content
  • Skip to primary sidebar
  • My Store
  • Glossary
  • Home
  • About Me
  • Contact Me

Statistics By Jim

Making statistics intuitive

  • Graphs
  • Basics
  • Hypothesis Testing
  • Regression
  • ANOVA
  • Probability
  • Time Series
  • Fun

choosing analysis

T Test Overview: How to Use & Examples

By Jim Frost 3 Comments

What is a T Test?

A t test is a statistical hypothesis test that assesses sample means to draw conclusions about population means. Frequently, analysts use a t test to determine whether the population means for two groups are different. For example, it can determine whether the difference between the treatment and control group means is statistically significant. [Read more…] about T Test Overview: How to Use & Examples

Filed Under: Hypothesis Testing Tagged With: analysis example, assumptions, choosing analysis, interpreting results

Wilcoxon Signed Rank Test Explained

By Jim Frost Leave a Comment

What is the Wilcoxon Signed Rank Test?

The Wilcoxon signed rank test is a nonparametric hypothesis test that can do the following:

  • Evaluate the median difference between two paired samples.
  • Compare a 1-sample median to a reference value.

[Read more…] about Wilcoxon Signed Rank Test Explained

Filed Under: Hypothesis Testing Tagged With: assumptions, choosing analysis, interpreting results, nonparametric

Kruskal Wallis Test Explained

By Jim Frost Leave a Comment

What is the Kruskal Wallis Test?

The Kruskal Wallis test is a nonparametric hypothesis test that compares three or more independent groups. Statisticians also refer to it as one-way ANOVA on ranks. This analysis extends the Mann Whitney U nonparametric test that can compare only two groups. [Read more…] about Kruskal Wallis Test Explained

Filed Under: Hypothesis Testing Tagged With: analysis example, assumptions, choosing analysis, distributions, interpreting results, nonparametric

Mann Whitney U Test Explained

By Jim Frost 6 Comments

What is the Mann Whitney U Test?

The Mann Whitney U test is a nonparametric hypothesis test that compares two independent groups. Statisticians also refer to it as the Wilcoxon rank sum test. The Kruskal Wallis test extends this analysis so that can compare more than two groups. [Read more…] about Mann Whitney U Test Explained

Filed Under: Hypothesis Testing Tagged With: analysis example, assumptions, choosing analysis, distributions, interpreting results, nonparametric

Box Plot Explained with Examples

By Jim Frost Leave a Comment

What is a Box Plot?

A box plot, sometimes called a box and whisker plot, provides a snapshot of your continuous variable’s distribution. They particularly excel at comparing the distributions of groups within your dataset. A box plot displays a ton of information in a simplified format. Analysts frequently use them during exploratory data analysis because they display your dataset’s central tendency, skewness, and spread, as well as highlighting outliers. [Read more…] about Box Plot Explained with Examples

Filed Under: Graphs Tagged With: choosing analysis, data types, distributions, graphs

Joint Probability: Definition, Formula & Examples

By Jim Frost 2 Comments

What is Joint Probability?

Joint probability is the likelihood that two or more events will coincide. Knowing how to calculate them allows you to solve problems such as the following. What is the probability of:

  • Getting two heads in two coin tosses?
  • Consecutively drawing two aces from a deck of cards?
  • The next customer being a woman who buys a Mac computer?
  • A bike rental customer getting both a flat front tire and a flat rear tire?

[Read more…] about Joint Probability: Definition, Formula & Examples

Filed Under: Probability Tagged With: analysis example, choosing analysis, conceptual

ANCOVA: Uses, Assumptions & Example

By Jim Frost 1 Comment

What is ANCOVA?

ANCOVA, or the analysis of covariance, is a powerful statistical method that analyzes the differences between three or more group means while controlling for the effects of at least one continuous covariate. [Read more…] about ANCOVA: Uses, Assumptions & Example

Filed Under: ANOVA Tagged With: analysis example, assumptions, choosing analysis, interpreting results

Principal Component Analysis Guide & Example

By Jim Frost Leave a Comment

What is Principal Component Analysis?

Principal Component Analysis (PCA) takes a large data set with many variables per observation and reduces them to a smaller set of summary indices. These indices retain most of the information in the original set of variables. Analysts refer to these new values as principal components. [Read more…] about Principal Component Analysis Guide & Example

Filed Under: Basics Tagged With: analysis example, choosing analysis, conceptual, interpreting results, multivariate

Fishers Exact Test: Using & Interpreting

By Jim Frost 3 Comments

Fishers exact test determines whether a statistically significant association exists between two categorical variables.

For example, does a relationship exist between gender (Male/Female) and voting Yes or No on a referendum? [Read more…] about Fishers Exact Test: Using & Interpreting

Filed Under: Hypothesis Testing Tagged With: analysis example, choosing analysis

Z Test: Uses, Formula & Examples

By Jim Frost Leave a Comment

What is a Z Test?

Use a Z test when you need to compare group means. Use the 1-sample analysis to determine whether a population mean is different from a hypothesized value. Or use the 2-sample version to determine whether two population means differ. [Read more…] about Z Test: Uses, Formula & Examples

Filed Under: Hypothesis Testing Tagged With: analysis example, assumptions, choosing analysis, interpreting results

Paired T Test: Definition & When to Use It

By Jim Frost 5 Comments

What is a Paired T Test?

Use a paired t-test when each subject has a pair of measurements, such as a before and after score. A paired t-test determines whether the mean change for these pairs is significantly different from zero. This test is an inferential statistics procedure because it uses samples to draw conclusions about populations.

Paired t tests are also known as a paired sample t-test or a dependent samples t test. These names reflect the fact that the two samples are paired or dependent because they contain the same subjects. Conversely, an independent samples t test contains different subjects in the two samples. [Read more…] about Paired T Test: Definition & When to Use It

Filed Under: Hypothesis Testing Tagged With: analysis example, assumptions, choosing analysis, interpreting results

Independent Samples T Test: Definition, Using & Interpreting

By Jim Frost 3 Comments

What is an Independent Samples T Test?

Use an independent samples t test when you want to compare the means of precisely two groups—no more and no less! Typically, you perform this test to determine whether two population means are different. This procedure is an inferential statistical hypothesis test, meaning it uses samples to draw conclusions about populations. The independent samples t test is also known as the two sample t test. [Read more…] about Independent Samples T Test: Definition, Using & Interpreting

Filed Under: Hypothesis Testing Tagged With: analysis example, assumptions, choosing analysis, interpreting results

Mean Absolute Deviation: Definition, Finding & Formula

By Jim Frost 4 Comments

What is the Mean Absolute Deviation?

The mean absolute deviation (MAD) is a measure of variability that indicates the average distance between observations and their mean. MAD uses the original units of the data, which simplifies interpretation. Larger values signify that the data points spread out further from the average. Conversely, lower values correspond to data points bunching closer to it. The mean absolute deviation is also known as the mean deviation and average absolute deviation. [Read more…] about Mean Absolute Deviation: Definition, Finding & Formula

Filed Under: Basics Tagged With: choosing analysis, conceptual, distributions

Stem and Leaf Plot: Making, Reading & Examples

By Jim Frost 2 Comments

What is a Stem and Leaf Plot?

Stem and leaf plots display the shape and spread of a continuous data distribution. These graphs are similar to histograms, but instead of using bars, they show digits. It’s a particularly valuable tool during exploratory data analysis. They can help you identify the central tendency, variability, skewness of your distribution, and outliers. Stem and leaf plots are also known as stemplots. [Read more…] about Stem and Leaf Plot: Making, Reading & Examples

Filed Under: Graphs Tagged With: choosing analysis, distributions, interpreting results

Pareto Chart: Making, Reading & Examples

By Jim Frost Leave a Comment

What is a Pareto Chart?

A Pareto chart is a specialized bar chart that displays categories in descending order and a line chart representing the cumulative amount. The chart effectively communicates the categories that contribute the most to the total. Frequently, quality analysts use Pareto charts to identify the most common types of defects or other problems.

Learn how to use and read Pareto charts and understand the Pareto principle and the 80/20 rule that are behind it. I’ll also show you how to create them using Excel. [Read more…] about Pareto Chart: Making, Reading & Examples

Filed Under: Graphs Tagged With: choosing analysis, data types, interpreting results, quality improvement

Venn Diagrams: Uses, Examples, and Making

By Jim Frost Leave a Comment

Venn diagrams visually represent relationships between concepts. They use circles to display similarities and differences between sets of ideas, traits, or items. Intersections indicate that the groups have common elements. Non-overlapping areas represent traits that are unique to one set. Venn diagrams are also known as logic diagrams and set diagrams. [Read more…] about Venn Diagrams: Uses, Examples, and Making

Filed Under: Graphs Tagged With: choosing analysis, conceptual, Excel

Scatterplots: Using, Examples, and Interpreting

By Jim Frost 4 Comments

Use scatterplots to show relationships between pairs of continuous variables. These graphs display symbols at the X, Y coordinates of the data points for the paired variables. Scatterplots are also known as scattergrams and scatter charts. [Read more…] about Scatterplots: Using, Examples, and Interpreting

Filed Under: Graphs Tagged With: analysis example, choosing analysis, data types, interpreting results

Pie Charts: Using, Examples, and Interpreting

By Jim Frost Leave a Comment

Use pie charts to compare the sizes of categories to the entire dataset. To create a pie chart, you must have a categorical variable that divides your data into groups. These graphs consist of a circle (i.e., the pie) with slices representing subgroups. The size of each slice is proportional to the relative size of each category out of the whole. [Read more…] about Pie Charts: Using, Examples, and Interpreting

Filed Under: Graphs Tagged With: analysis example, choosing analysis, data types, interpreting results

Bar Charts: Using, Examples, and Interpreting

By Jim Frost 4 Comments

Use bar charts to compare categories when you have at least one categorical or discrete variable. Each bar represents a summary value for one discrete level, where longer bars indicate higher values. Types of summary values include counts, sums, means, and standard deviations. Bar charts are also known as bar graphs. [Read more…] about Bar Charts: Using, Examples, and Interpreting

Filed Under: Graphs Tagged With: analysis example, choosing analysis, data types, interpreting results

Line Charts: Using, Examples, and Interpreting

By Jim Frost 2 Comments

Use line charts to display a series of data points that are connected by lines. Analysts use line charts to emphasize changes in a metric on the vertical Y-axis by another variable on the horizontal X-axis. Often, the X-axis reflects time, but not always. Line charts are also known as line plots. [Read more…] about Line Charts: Using, Examples, and Interpreting

Filed Under: Graphs Tagged With: analysis example, choosing analysis, data types, interpreting results

  • Go to page 1
  • Go to page 2
  • Go to page 3
  • Go to Next Page »

Primary Sidebar

Meet Jim

I’ll help you intuitively understand statistics by focusing on concepts and using plain English so you can concentrate on understanding your results.

Read More...

Buy My Introduction to Statistics Book!

Cover of my Introduction to Statistics: An Intuitive Guide ebook.

Buy My Hypothesis Testing Book!

Cover image of my Hypothesis Testing: An Intuitive Guide ebook.

Buy My Regression Book!

Cover for my ebook, Regression Analysis: An Intuitive Guide for Using and Interpreting Linear Models.

Subscribe by Email

Enter your email address to receive notifications of new posts by email.

    I won't send you spam. Unsubscribe at any time.

    Top Posts

    • How to Interpret P-values and Coefficients in Regression Analysis
    • How To Interpret R-squared in Regression Analysis
    • Placebo Effect Overview: Definition & Examples
    • Z-table
    • Mean, Median, and Mode: Measures of Central Tendency
    • Cronbach’s Alpha: Definition, Calculations & Example
    • Bernoulli Distribution: Uses, Formula & Example
    • F-table
    • How to do t-Tests in Excel
    • Weighted Average: Formula & Calculation Examples

    Recent Posts

    • Bernoulli Distribution: Uses, Formula & Example
    • Placebo Effect Overview: Definition & Examples
    • Randomized Controlled Trial (RCT) Overview
    • Prospective Study: Definition, Benefits & Examples
    • T Test Overview: How to Use & Examples
    • Wilcoxon Signed Rank Test Explained

    Recent Comments

    • Engelbert Buxbaum on Choosing the Correct Type of Regression Analysis
    • Jim Frost on Cronbach’s Alpha: Definition, Calculations & Example
    • John on Cronbach’s Alpha: Definition, Calculations & Example
    • Jim Frost on Multicollinearity in Regression Analysis: Problems, Detection, and Solutions
    • Thu Nguyen on Multicollinearity in Regression Analysis: Problems, Detection, and Solutions

    Copyright © 2023 · Jim Frost · Privacy Policy