English, Article, Journal or magazine article edition: Exact Tests for Correlation and for the Slope in Simple Linear Regressions without Making Assumptions Karl Schlag

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Physical Description
  • preprint
Language
  • English

Edition details

Title
  • Exact Tests for Correlation and for the Slope in Simple Linear Regressions without Making Assumptions
Author
  • Karl Schlag
Physical Description
  • preprint
Notes
  • We present an exact test for whether two random variables that have known bounds on their support are negatively correlated. The alternative hypothesis is that they are not negatively correlated. No assumptions are made on the underlying distributions. We show by example that the Spearman rank correlation test as the competing exact test of correlation in nonparametric settings rests on an additional assumption on the data generating process without which it is not valid as a test for correlation. We then show how to test for the significance of the slope in a linear regression analysis that invovles a single independent variable and where outcomes of the dependent variable belong to a known bounded set.
  • Correlation test, exact hypothesis testing, distribution-free, nonparametric, simple linear regression
  • RePEc:upf:upfgen:1097
Language
  • English
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