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Statistics By Jim

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One Sample T Test: Definition, Using & Example

By Jim Frost Leave a Comment

What is a One Sample T Test?

Use a one sample t test to evaluate a population mean using a single sample. Usually, you conduct this hypothesis test to determine whether a population mean differs from a hypothesized value you specify. The hypothesized value can be theoretically important in the study area, a reference value, or a target. [Read more…] about One Sample T Test: Definition, Using & Example

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

QQ Plot: Uses, Benefits & Interpreting

By Jim Frost 7 Comments

What is a QQ Plot?

A QQ plot, or Quantile-Quantile plot, is a visual tool that determines whether a sample:

  • Was drawn from a population that follows a specific probability distribution, often a normal distribution.
  • Follows the same distribution as another sample.

[Read more…] about QQ Plot: Uses, Benefits & Interpreting

Filed Under: Graphs Tagged With: distributions

What is a Parsimonious Model? Benefits and Selecting

By Jim Frost Leave a Comment

What is a Parsimonious Model?

A parsimonious model in statistics is one that uses relatively few independent variables to obtain a good fit to the data. [Read more…] about What is a Parsimonious Model? Benefits and Selecting

Filed Under: Regression Tagged With: analysis example, conceptual, interpreting results

Bernoulli Distribution: Uses, Formula & Example

By Jim Frost Leave a Comment

What is the Bernoulli Distribution?

The Bernoulli distribution is a discrete probability distribution that models a binary outcome for one trial. Use it for a random variable that can take one of two outcomes: success (k = 1) or failure (k = 0), much like a coin toss. Statisticians refer to these trials as Bernoulli trials. [Read more…] about Bernoulli Distribution: Uses, Formula & Example

Filed Under: Probability Tagged With: distributions

Placebo Effect Overview: Definition & Examples

By Jim Frost 1 Comment

What is the Placebo Effect?

The placebo effect occurs when a fake medical treatment produces real medical benefits psychosomatically. In short, believing in the treatment and the power of the mind can help someone feel better. The placebo effect can be so powerful that it mimics genuine medicine. Consequently, scientists need to control for it when conducting clinical trials. [Read more…] about Placebo Effect Overview: Definition & Examples

Filed Under: Basics Tagged With: conceptual, experimental design

Randomized Controlled Trial (RCT) Overview

By Jim Frost Leave a Comment

What is a Randomized Controlled Trial (RCT)?

A randomized controlled trial (RCT) is a prospective experimental design that randomly assigns participants to an experimental or control group. RCTs are the gold standard for establishing causal relationships and ruling out confounding variables and selection bias. Researchers must be able to control who receives the treatments and who are the controls to use this design. It is a type of controlled experiment. Randomized controlled trials are considered one of the highest forms of design in the level of evidence ranking. [Read more…] about Randomized Controlled Trial (RCT) Overview

Filed Under: Basics Tagged With: experimental design

Prospective Study: Definition, Benefits & Examples

By Jim Frost Leave a Comment

What is a Prospective Study?

A prospective study is an experimental design that looks forward in time and observes events as they happen. Participants begin the study without having a condition of interest. Then researchers gather data and take measurements at regular intervals to identify the occurrence of specific outcomes along with other data that might relate to them. [Read more…] about Prospective Study: Definition, Benefits & Examples

Filed Under: Basics Tagged With: experimental design

T Test Overview: How to Use & Examples

By Jim Frost 14 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 1 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

What is P Hacking: Methods & Best Practices

By Jim Frost 2 Comments

P-Hacking Definition

P hacking is a set of statistical decisions and methodology choices during research that artificially produces statistically significant results. These decisions increase the probability of false positives—where the study indicates an effect exists when it actually does not. P-hacking is also known as data dredging, data fishing, and data snooping. [Read more…] about What is P Hacking: Methods & Best Practices

Filed Under: Hypothesis Testing Tagged With: conceptual

Likert Scale: Survey Use & Examples

By Jim Frost 6 Comments

What is a Likert Scale?

The Likert scale is a well-loved tool in the realm of survey research. Named after psychologist Rensis Likert, it measures attitudes or feelings towards a topic on a continuum, typically from one extreme to the other. The scale provides quantitative data about qualitative aspects, such as attitudes, satisfaction, agreement, or likelihood. [Read more…] about Likert Scale: Survey Use & Examples

Filed Under: Basics Tagged With: conceptual, data types, interpreting results

Correlation Coefficient Formula Walkthrough

By Jim Frost 1 Comment

Pearson’s correlation coefficient formula produces a number ranging from -1 to +1, quantifying the strength and direction of a relationship between two continuous variables. A correlation of -1 means a perfect negative relationship, +1 represents a perfect positive relationship, and 0 indicates no relationship. [Read more…] about Correlation Coefficient Formula Walkthrough

Filed Under: Basics Tagged With: analysis example, formula

Two-Way Table Explained

By Jim Frost 2 Comments

What is a Two-Way Table?

A two-way table displays frequencies for combinations of two categorical variables. Columns correspond to the values of one variable, while the rows relate to the other. The intersection of each row and column displays a frequency or relative frequency of observations having a pair of categorical attributes. Statisticians also refer to them as cross tabulation and contingency tables. [Read more…] about Two-Way Table Explained

Filed Under: Basics Tagged With: analysis example, interpreting results

Kruskal Wallis Test Explained

By Jim Frost 2 Comments

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

What is the Bonferroni Correction and How to Use It

By Jim Frost 8 Comments

What is the Bonferroni Correction?

The Bonferroni correction adjusts your significance level to control the overall probability of a Type I error (false positive) for multiple hypothesis tests. [Read more…] about What is the Bonferroni Correction and How to Use It

Filed Under: Hypothesis Testing Tagged With: conceptual

Sum of Squares: Definition, Formula & Types

By Jim Frost 3 Comments

What is the Sum of Squares?

The sum of squares (SS) is a statistic that measures the variability of a dataset’s observations around the mean. It’s the cumulative total of each data point’s squared difference from the mean. [Read more…] about Sum of Squares: Definition, Formula & Types

Filed Under: Regression Tagged With: conceptual, formula

Mann Whitney U Test Explained

By Jim Frost 8 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

Covariance: Formula, Definition & Example

By Jim Frost 2 Comments

What is Covariance?

Covariance in statistics measures the extent to which two variables vary linearly. The covariance formula reveals whether two variables move in the same or opposite directions. [Read more…] about Covariance: Formula, Definition & Example

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

Box Plot Explained with Examples

By Jim Frost 27 Comments

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

Framing Effect: Definition & Examples

By Jim Frost Leave a Comment

What is the Framing Effect?

The framing effect is a cognitive bias that distorts our decisions and judgments based on how information is presented or ‘framed.’ This effect isn’t about lying or twisting the truth. It’s about the same cold, hard facts making us think and act differently just by changing their packaging. [Read more…] about Framing Effect: Definition & Examples

Filed Under: Basics Tagged With: bias sources, conceptual

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