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OptinMon 02 - Binary, Ordinal, and Multinomial Logistic Regression...

When Linear Models Don’t Fit Your Data, Now What?

by Karen Grace-Martin 29 Comments

When your dependent variable is not continuous, unbounded, and measured on an interval or ratio scale, linear models don’t fit. The data just will not meet the assumptions of linear models. But there’s good news, other models exist for many types of dependent variables.

Today I’m going to go into more detail about 6 common types of dependent variables that are either discrete, bounded, or measured on a nominal or ordinal scale and the tests that work for them instead. Some are all of these.

[Read more…] about When Linear Models Don’t Fit Your Data, Now What?

Tagged With: binary variable, categorical variable, Censored, dependent variable, Discrete Counts, Multinomial, ordinal variable, Poisson Regression, Proportion, Proportional Odds Model, regression models, Truncated, Zero Inflated

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Member Training: Explaining Logistic Regression Results to Non-Researchers

by TAF Support

Interpreting the results of logistic regression can be tricky, even for people who are familiar with performing different kinds of statistical analyses. How do we then share these results with non-researchers in a way that makes sense?

[Read more…] about Member Training: Explaining Logistic Regression Results to Non-Researchers

Tagged With: categorical variable, graphing, interaction, logistic regression, numeric variable

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  • When Linear Models Don’t Fit Your Data, Now What?
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Five Ways to Analyze Ordinal Variables (Some Better than Others)

by Karen Grace-Martin 1 Comment

There are not a lot of statistical methods designed just for ordinal variables.

But that doesn’t mean that you’re stuck with few options.  There are more than you’d think.

Some are better than others, but it depends on the situation and research questions.

Here are five options when your dependent variable is ordinal.
[Read more…] about Five Ways to Analyze Ordinal Variables (Some Better than Others)

Tagged With: categorical variable, non-parametric, Ordinal Logistic Regression, rank-based test

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  • When Linear Models Don’t Fit Your Data, Now What?
  • Member Training: Explaining Logistic Regression Results to Non-Researchers
  • How to Decide Between Multinomial and Ordinal Logistic Regression Models
  • Opposite Results in Ordinal Logistic Regression, Part 2

How to Decide Between Multinomial and Ordinal Logistic Regression Models

by Karen Grace-Martin 9 Comments

A great tool to have in your statistical tool belt is logistic regression.

It comes in many varieties and many of us are familiar with the variety for binary outcomes.

But multinomial and ordinal varieties of logistic regression are also incredibly useful and worth knowing.

They can be tricky to decide between in practice, however.  In some — but not all — situations you [Read more…] about How to Decide Between Multinomial and Ordinal Logistic Regression Models

Tagged With: link function, logistic regression, logit, Multinomial Logistic Regression, Ordinal Logistic Regression

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How to Understand a Risk Ratio of Less than 1

by Audrey Schnell 2 Comments

When a model has a binary outcome, one common effect size is a risk ratio. As a reminder, a risk ratio is simply a ratio of two probabilities. (The risk ratio is also called relative risk.)

Risk ratios are a bit trickier to interpret when they are less than one. 

A predictor variable with a risk ratio of less than one is often labeled a “protective factor” (at least in Epidemiology). This can be confusing because in our typical understanding of those terms, it makes no sense that a risk be protective.

So how can a RISK be protective? [Read more…] about How to Understand a Risk Ratio of Less than 1

Tagged With: binary outcome, predictor variable, probability, protective factor, relative risk, risk ratio

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  • The Difference Between Relative Risk and Odds Ratios
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When to Use Logistic Regression for Percentages and Counts

by Karen Grace-Martin 4 Comments

One important yet difficult skill in statistics is choosing a type model for different data situations. One key consideration is the dependent variable.

For linear models, the dependent variable doesn’t have to be normally distributed, but it does have to be continuous, unbounded, and measured on an interval or ratio scale.

Percentages don’t fit these criteria. Yes, they’re continuous and ratio scale. The issue is the [Read more…] about When to Use Logistic Regression for Percentages and Counts

Tagged With: binomial, Count data, count model, dependent variable, events, logistic regression, Negative Binomial Regression, percentage data, Poisson Regression, trials

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