I have done this many ways in the past. I have a series of variables that are modeled on a four point likert scale from strongly disagree 1 to strongly agree 4. Originally, since I think it is reasonable the differences between the levels are the same, I ran linear regression using the raw levels (that is the original 4 point levels for the predictors and the dependent variable - DV).

Last time I ran logistic regression with predictors on the original scale (which the system assumes is linear) and a two level DV. All I am trying to determine is which predictors are statistically significant (I have found no good way to determine which has the greatest relative impact in a decade plus of looking at the literature). I have about 700 cases. Most are going to be in one level of the DV because most agree or strongly agree (effectively the questions deal with satisfaction although the wording does not use that term it uses agreement/disagreement with phrases like I am satisfied with pay).

I can see several ways to do this. I would appreciate advice on this (which way to do it).

Linear regression with a 4 point predictor and 4 point DV.

Linear regression with dummy predictors (2 levels agree/disagree).

Logistic regression with a two level DV and either the predictors on the original 4 point scale or as dummy variables.

I don't want to run ordinal logistic regression given various concerns. One thing that worries me about logistic regression, given rules of thumb I have read such as Agresti, is that I only 82 of 639 usable cases at one of the two levels of the DV (if we collapse level 1 and 2 into level 0 and 3 and 4 into level 1). Not sure that is enough to make the regression work (well it will run, I mean interpret it correctly).

Last time I ran logistic regression with predictors on the original scale (which the system assumes is linear) and a two level DV. All I am trying to determine is which predictors are statistically significant (I have found no good way to determine which has the greatest relative impact in a decade plus of looking at the literature). I have about 700 cases. Most are going to be in one level of the DV because most agree or strongly agree (effectively the questions deal with satisfaction although the wording does not use that term it uses agreement/disagreement with phrases like I am satisfied with pay).

I can see several ways to do this. I would appreciate advice on this (which way to do it).

Linear regression with a 4 point predictor and 4 point DV.

Linear regression with dummy predictors (2 levels agree/disagree).

Logistic regression with a two level DV and either the predictors on the original 4 point scale or as dummy variables.

I don't want to run ordinal logistic regression given various concerns. One thing that worries me about logistic regression, given rules of thumb I have read such as Agresti, is that I only 82 of 639 usable cases at one of the two levels of the DV (if we collapse level 1 and 2 into level 0 and 3 and 4 into level 1). Not sure that is enough to make the regression work (well it will run, I mean interpret it correctly).

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