When can ordinal variables be continuous?

When can ordinal variables be continuous?

This rationale centers on the fact that Likert, or ordinal variables with five or more categories can often be used as continuous without any harm to the analysis you plan to use them in (Johnson & Creech, 1983; Norman, 2010; Sullivan & Artino, 2013; Zumbo & Zimmerman, 1993).

Can I do regression on ordinal data?

Introduction. Ordinal logistic regression (often just called ‘ordinal regression’) is used to predict an ordinal dependent variable given one or more independent variables. As with other types of regression, ordinal regression can also use interactions between independent variables to predict the dependent variable.

Is income an ordinal variable?

For example, income is a variable that can be recorded on an ordinal or a ratio scale: At an ordinal level, you could create 5 income groupings and code the incomes that fall within them from 1–5. At a ratio level, you would record exact numbers for income.

How are ordinal predictors treated in regression models?

In most cases, ordinal predictors are treated as either nominal (unordered) variables or metric (continuous) variables in regression models, which is theoretically and/or computationally undesirable. In this paper, we discuss the benefit of taking a smoothing spline approach to the modeling of ordinal predictors.

Can an ordinal scale be coded as continuous?

An ordinal scale can be coded numerically and treated as continuous on average; however, as the measure is not interval, I would use sensitivity analysis to compare multiple coding schemes.

Do you need a dummy variable in linear regression?

Traditionally in linear regression your predictors must either be continuous or binary. Ordinal variables are often inserted using a dummy coding scheme. This is equivalent to conducting an ANOVA and the baseline ordinal level will be represented by the intercept.

How is the ordinal smoothing spline used in regression?

Our results reveal that the ordinal smoothing spline offers a flexible approach for incorporating ordered predictors in regression models, and has the benefit of being invariant to any monotonic transformation of the predictor scores. 1. Introduction 1.1. Motivation