Skip to main content
edited body
Source Link
ttnphns
  • 58.8k
  • 53
  • 287
  • 512

You are free to choose any of the categories as the reference. From the statistical viewpoint of overall statistical quality of prediction by the model, the choice is arbitrary. In terms of interpretation of individual IV's effects, it makes difference. The multinomial logistic model is:

$log(\frac{Prob(category_i)}{Prob(category_{ref})})=B_{i0}+B_{i1}X_1+B_{i2}X_2...+B_{ip}X_p$

So you interpret effects (regression coefficients) of independent variables for each category $i$ vis-a-vis your reference category $ref$. Namely, $exp(B_{i1})$, for example, is this odds ratio: by how many times the estimated odds $\frac{Prob(category_i)}{Prob(category_{ref})}$ increases in response relative to increasing $X_1$ by one unit.

This also implies that if you want to interpret the coefficients, you should not just look at whether they are significant or not. It matters if the independent variable $X$ is continuous or categorical. $exp(B)$ for a continuous predictor with wide scale (big variance) can be close to 1 even if the predictor is highly significant. So it is generally preferable to categorize continuous predictors into a small number of meaningful categories prior to doing the regression whenever you are going to interpret the coefficients. Also, categorization of a continuous predictor into equal subranges will allow you to check the linearity assumption.

You are free to choose any of the categories as the reference. From the statistical viewpoint of overall quality of prediction by the model, the choice is arbitrary. In terms of interpretation of individual IV's effects, it makes difference. The multinomial logistic model is:

$log(\frac{Prob(category_i)}{Prob(category_{ref})})=B_{i0}+B_{i1}X_1+B_{i2}X_2...+B_{ip}X_p$

So you interpret effects (regression coefficients) of independent variables for each category $i$ vis-a-vis your reference category $ref$. Namely, $exp(B_{i1})$, for example, is this odds ratio: by how many times the estimated odds $\frac{Prob(category_i)}{Prob(category_{ref})}$ increases in response relative to increasing $X_1$ by one unit.

This also implies that if you want to interpret the coefficients, you should not just look at whether they are significant or not. It matters if the independent variable $X$ is continuous or categorical. $exp(B)$ for a continuous predictor with wide scale (big variance) can be close to 1 even if the predictor is highly significant. So it is generally preferable to categorize continuous predictors into a small number of meaningful categories prior to doing the regression whenever you are going to interpret the coefficients. Also, categorization of a continuous predictor into equal subranges will allow you to check the linearity assumption.

You are free to choose any of the categories as the reference. From the viewpoint of overall statistical quality of prediction by the model, the choice is arbitrary. In terms of interpretation of individual IV's effects, it makes difference. The multinomial logistic model is:

$log(\frac{Prob(category_i)}{Prob(category_{ref})})=B_{i0}+B_{i1}X_1+B_{i2}X_2...+B_{ip}X_p$

So you interpret effects (regression coefficients) of independent variables for each category $i$ vis-a-vis your reference category $ref$. Namely, $exp(B_{i1})$, for example, is this odds ratio: by how many times the estimated odds $\frac{Prob(category_i)}{Prob(category_{ref})}$ increases in response relative to increasing $X_1$ by one unit.

This also implies that if you want to interpret the coefficients, you should not just look at whether they are significant or not. It matters if the independent variable $X$ is continuous or categorical. $exp(B)$ for a continuous predictor with wide scale (big variance) can be close to 1 even if the predictor is highly significant. So it is generally preferable to categorize continuous predictors into a small number of meaningful categories prior to doing the regression whenever you are going to interpret the coefficients. Also, categorization of a continuous predictor into equal subranges will allow you to check the linearity assumption.

added 1 characters in body; added 73 characters in body
Source Link
ttnphns
  • 58.8k
  • 53
  • 287
  • 512

You are free to choose any of the categories as the reference. From the statistical viewpoint of overall quality of prediction by the model, the choice is arbitrary. IntermsIn terms of interpretation of individual IV's effects, it makes difference. The multinomial logistic model is:

$log(\frac{Prob(category_i)}{Prob(category_{ref})})=B_{i0}+B_{i1}X_1+B_{i2}X_2...+B_{ip}X_p$

So you interpret effects (regression coefficients) of independent variables for each category $i$ vis-a-vis your reference category $ref$. Namely, $exp(B_{i1})$, for example, is this odds ratio: by how many times the estimated odds $\frac{Prob(category_i)}{Prob(category_{ref})}$ increases in response relative to increasing $X_1$ by one unit.

This also implies that if you want to interpret the coefficients, you should not just look at whether they are significant or not. It matters if the independent variable $X$ is continuous or categorical. $exp(B)$ for a continuous predictor with wide scale (big variance) can be close to 1 even if the predictor is highly significant. So it is generally preferable to categorize continuous predictors into a small number of meaningful categories prior to doing the regression whenever you are going to interpret the coefficients. Also, categorization of a continuous predictor into equal subranges will allow you to check the linearity assumption.

You are free to choose any of the categories as the reference. From the statistical viewpoint, the choice is arbitrary. Interms of interpretation, it makes difference. The multinomial logistic model is:

$log(\frac{Prob(category_i)}{Prob(category_{ref})})=B_{i0}+B_{i1}X_1+B_{i2}X_2...+B_{ip}X_p$

So you interpret effects (regression coefficients) of independent variables for each category $i$ vis-a-vis your reference category $ref$. Namely, $exp(B_{i1})$, for example, is this odds ratio: by how many times the estimated odds $\frac{Prob(category_i)}{Prob(category_{ref})}$ increases in response relative to increasing $X_1$ by one unit.

This also implies that if you want to interpret the coefficients, you should not just look at whether they are significant or not. It matters if the independent variable $X$ is continuous or categorical. $exp(B)$ for a continuous predictor with wide scale (big variance) can be close to 1 even if the predictor is highly significant. So it is generally preferable to categorize continuous predictors into a small number of meaningful categories prior to doing the regression whenever you are going to interpret the coefficients. Also, categorization of a continuous predictor into equal subranges will allow you to check the linearity assumption.

You are free to choose any of the categories as the reference. From the statistical viewpoint of overall quality of prediction by the model, the choice is arbitrary. In terms of interpretation of individual IV's effects, it makes difference. The multinomial logistic model is:

$log(\frac{Prob(category_i)}{Prob(category_{ref})})=B_{i0}+B_{i1}X_1+B_{i2}X_2...+B_{ip}X_p$

So you interpret effects (regression coefficients) of independent variables for each category $i$ vis-a-vis your reference category $ref$. Namely, $exp(B_{i1})$, for example, is this odds ratio: by how many times the estimated odds $\frac{Prob(category_i)}{Prob(category_{ref})}$ increases in response relative to increasing $X_1$ by one unit.

This also implies that if you want to interpret the coefficients, you should not just look at whether they are significant or not. It matters if the independent variable $X$ is continuous or categorical. $exp(B)$ for a continuous predictor with wide scale (big variance) can be close to 1 even if the predictor is highly significant. So it is generally preferable to categorize continuous predictors into a small number of meaningful categories prior to doing the regression whenever you are going to interpret the coefficients. Also, categorization of a continuous predictor into equal subranges will allow you to check the linearity assumption.

added 28 characters in body
Source Link
Michael R. Chernick
  • 43.2k
  • 28
  • 85
  • 159

You are free to choose any of the categories as the reference one. From the statistical viewpoint, the choice is arbitrary. FromInterms of interpretation viewpoint, it makes difference. MultinomialThe multinomial logistic model is that:

$log(\frac{Prob(category_i)}{Prob(category_{ref})})=B_{i0}+B_{i1}X_1+B_{i2}X_2...+B_{ip}X_p$

soSo you interpret effects (regression coefficients) of independent variables for each category $i$ vis-a-vis your reference cagorycategory $ref$. Namely, $exp(B_{i1})$, for example, is this odds ratio: by how many times the estimated odds $\frac{Prob(category_i)}{Prob(category_{ref})}$ increases in responceresponse relative to increasing $X_1$ by one unit.

The just said impliesThis also implies that if you want to interpret the coefficients, you should not just look at whether they are significant or not, then it. It matters if the independent variable $X$ is continuous or categorical. $exp(B)$ for a continuous predictor with wide scale (big variance) can be close to 1 even if the predictor is highly significant. So it is generally preferable to categorize continuous predictors into a small number of meaningful categories prior to doing the regression whenever you are going to interpret the coefficients. Also, categorization of a continuous predictor into equal subranges will allow you to check the linearity assumption.

You are free to choose any of the categories as the reference one. From statistical viewpoint, the choice is arbitrary. From interpretation viewpoint, it makes difference. Multinomial logistic model is that

$log(\frac{Prob(category_i)}{Prob(category_{ref})})=B_{i0}+B_{i1}X_1+B_{i2}X_2...+B_{ip}X_p$

so you interpret effects (regression coefficients) of independent variables for each category $i$ vis-a-vis your reference cagory $ref$. Namely, $exp(B_{i1})$, for example, is this odds ratio: by how many times the estimated odds $\frac{Prob(category_i)}{Prob(category_{ref})}$ increases in responce to increasing $X_1$ by one unit.

The just said implies also that if you want to interpret the coefficients, not just look whether they are significant or not, then it matters if the independent variable $X$ is continuous or categorical. $exp(B)$ for a continuous predictor with wide scale (big variance) can be close to 1 even if the predictor is highly significant. So it is generally preferable to categorize continuous predictors into a small number of meaningful categories prior regression whenever you are going to interpret the coefficients. Also, categorization of a continuous predictor into equal subranges will allow to check linearity assumption.

You are free to choose any of the categories as the reference. From the statistical viewpoint, the choice is arbitrary. Interms of interpretation, it makes difference. The multinomial logistic model is:

$log(\frac{Prob(category_i)}{Prob(category_{ref})})=B_{i0}+B_{i1}X_1+B_{i2}X_2...+B_{ip}X_p$

So you interpret effects (regression coefficients) of independent variables for each category $i$ vis-a-vis your reference category $ref$. Namely, $exp(B_{i1})$, for example, is this odds ratio: by how many times the estimated odds $\frac{Prob(category_i)}{Prob(category_{ref})}$ increases in response relative to increasing $X_1$ by one unit.

This also implies that if you want to interpret the coefficients, you should not just look at whether they are significant or not. It matters if the independent variable $X$ is continuous or categorical. $exp(B)$ for a continuous predictor with wide scale (big variance) can be close to 1 even if the predictor is highly significant. So it is generally preferable to categorize continuous predictors into a small number of meaningful categories prior to doing the regression whenever you are going to interpret the coefficients. Also, categorization of a continuous predictor into equal subranges will allow you to check the linearity assumption.

Source Link
ttnphns
  • 58.8k
  • 53
  • 287
  • 512
Loading