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Evaluating goodness-of-fit for a logistic regression model using the Hosmer-Lemeshow test on samples from a large data set

Bartley, Adam C

Abstract Details

2014, Master of Science, Ohio State University, Public Health.
The Hosmer-Lemeshow test is a commonly used assessment of goodness-of-fit for logistic regression models. As widely used as the Hosmer-Lemeshow test is, it can yield a high rejection rate of acceptable models when large samples are used. Several studies have suggested that one way around this would be to perform the test on random samples of fewer observations from the original data. This procedure would be easy to do and certainly reduce the power of the test, but no guidelines were given for how to implement the procedure or how to interpret results. At least two studies have used this technique with little justification for their conclusions. The purpose of this thesis was to evaluate the method proposed by others and give a recommendation for implementation. Results of a simulation study suggested that when one hundred subsets of five thousand observations were taken, if more than 10 had significant Hosmer-Lemeshow tests then the fit of the model should be considered suspect.
Michael Pennell (Advisor)
Stanley Lemeshow (Committee Member)
30 p.

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Citations

  • Bartley, A. C. (2014). Evaluating goodness-of-fit for a logistic regression model using the Hosmer-Lemeshow test on samples from a large data set [Master's thesis, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1396951135

    APA Style (7th edition)

  • Bartley, Adam. Evaluating goodness-of-fit for a logistic regression model using the Hosmer-Lemeshow test on samples from a large data set. 2014. Ohio State University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1396951135.

    MLA Style (8th edition)

  • Bartley, Adam. "Evaluating goodness-of-fit for a logistic regression model using the Hosmer-Lemeshow test on samples from a large data set." Master's thesis, Ohio State University, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=osu1396951135

    Chicago Manual of Style (17th edition)