## t, p, & Effect Size Estimator

- This tool estimates
*t*-scores from*p*-values and vice versa for a given number of degrees of freedom υ. - Just enter a (
*t*,υ) or (*p*,υ) pair and this tool will solve for the missing term. - The tool also estimates the effect sizes associated to the (
*t*,*p*,υ) triplet.

- This tool computes
*t*-scores from*p*-values and vice versa. These conversions are the same as those obtained from our - The tool also estimates the statistics that one would obtain if the computed estimates correspond to a set of paired variables
*(x, y)*, or to effect sizes from any two samples of same sizes (*n*and_{1}*n*); i.e. samples with same degrees of freedom (υ_{2}_{1}and υ_{2}). - The following are estimated

- Pearson's Correlation Coefficient,
- Standard Error of Correlations,
- Signal (explained variations) or
*r*,^{2} - Noise (unexplained variations) or
*1 - r*,^{2} - Signal-to-Noise Ratio or Cohen's
*f*,^{2} - Square Root of Signal/Noise Ratio or Cohen's
*f*, - Omega Squared,
- Standardized Mean Difference or Cohen's
*d*, - Hedges's
*g*, - Log Odds Ratio
*L*,

Although

*SE*and*N*are not effect sizes, these are listed as supporting data. Conversions between effect sizes are available online (Beasley, 2007; Borenstein, Hedges, Higgins, & Rothstein, 2009; Psychometrica.de, 2017; Rosenthal & Rubin, 1982).

- Anyone that need to do
*t, p*and effect sizes testing.

- Show that for any two samples of equal sizes .
- Show that a log odds ratio
*L*is about 3.6 times Cohen's*f*; i.e.,*L = (3.62759...)f*. - What is the statistical meaning of the following statements?
- Cohen's
*d*is twice Cohen's*f*; i.e.*d = 2f*. *d*is the derivative of*S/N = f*respect to^{2}*t*.*1/N*is found in the PDF expression of*Student's t Distribution*.

- Cohen's

- Beasley, M. (2007).Conversion of Common Test Statistics to r and d Values Retrieved from UAB.edu site.
- Borenstein, M., Larry V. Hedges, L. V., Higgins, J. P. T., & Rothstein, H. R. (2009). Converting Among Effect Sizes. Introduction to Meta-Analysis. Chapter 7. Wiley Online Library.
- Pyschometrica.de (2017). Computation of Effect Sizes.
- Rosenthal, R., & Rubin, D. B. (1982). A Simple, General Purpose Display of Magnitude of Experimental Effect. Journal of Educational Psychology, Vol 74, 2, 166-169. American Psychological Association.

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