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The Effect of Readability on Simple Linear Regression

Brodbeck, William Joseph
http://orcid.org/0000-0001-7390-0710
http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1591867761661656

Abstract Details

2020, Master of Arts (MA), Bowling Green State University, Mathematics/Mathematical Statistics.
In this thesis, the effect of readability on simple linear regression (SLR) is investigated. The effect is applicable to SLR because readability errors are included in recorded data, and consequently in the residuals, whenever a sample is taken of a continuous random variable. The readability errors are at a minimum the round off error of the recorded data. However, practical concerns often necessitate larger readability errors. Readability has the effect of dividing a continuous distribution into subsections or intervals. In this thesis, only intervals of equal width and equal area (i.e., equal probability) are evaluated. The minimum number of equal width or equal area intervals for which the effect of readability on SLR may be considered negligible is determined. In addition, a practical minimum of five intervals is also evaluated. The SLR model is modified such that readability errors are treated separately from the residuals. The modified SLR model is called the Readability model. The effect of readability is defined as the difference in the variance of the residuals between the standard SLR model and the Readability model. To assess the appropriateness of the Readability model, a sample with negligible readability errors is created from a continuous random distribution. A second sample is created by introducing readability into the first sample. Linear regressions of the two samples, one without readability errors and one with readability errors, are then compared to determine the effect of readability. In this thesis, samples are taken from Uniform, Beta and Normal distributions. The Readability model is shown to be an appropriate model for evaluating the effect of readability on simple linear regression.
John Chen, Ph.D. (Advisor)
Craig Zirbel, Ph.D. (Committee Member)
128 p.
Mathematics; Statistics
readability; simple linear regression; SLR; continuous residuals; readability model;

Recommended Citations

Citations

  • Brodbeck, W. J. (2020). The Effect of Readability on Simple Linear Regression [Master's thesis, Bowling Green State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1591867761661656

    APA Style (7th edition)

  • Brodbeck, William. The Effect of Readability on Simple Linear Regression . 2020. Bowling Green State University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1591867761661656.

    MLA Style (8th edition)

  • Brodbeck, William. "The Effect of Readability on Simple Linear Regression ." Master's thesis, Bowling Green State University, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1591867761661656

    Chicago Manual of Style (17th edition)

bgsu1591867761661656
171
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This open access ETD is published by Bowling Green State University and OhioLINK.