Question

What statistic should I use to measure the reliability here?

The U.S. Olympic Committee wants to know whether the 6 jduges for the figure skating competition give consistent (i.e., similar) ratings of the skaters' artistic merit. Each judge gives each skater a score between 1 and 10 for their performance; 1 indicates very low performance whereas 10 indicates very high performance. Which statistic should the Olympic Committee use to measure the relability across the 6 judges? Explain your choice.

-Class: Research Methods and Statistics

Answer 1

SOL::-Here the scale used for the SKATING COMPETETION is ordinal. where each judge gives a each skater a score between 1 and 10 based on their performance

The ordinal scales involve ranking.

The use of numbers in an ordinal scale formation implies greater than or less than relationship

. It does not in any way imply as to how much more or how much less

As the scale utilized has the 5 focuses, the non parametric insights are more suitable. We can utilize Kolmogorov Smirnove Test, clarified underneath.

Kolmogorov-Smirnov test is a trial of decency of fit for the univariate situation when the size of estimation is ordinal. It is like the chi-square trial of integrity of fit in the sense it additionally looks at whether the watched frequencies are as per the normal frequencies under a very much characterized invalid theory. Obviously the chi-square test includes ostensible estimation. Kolmogorov-Smirnov test is more great than the chi-square test when ordinal information are experienced in any choice issue. In the finishing up comments, you will see the benefits of utilizing Kolmogorov-Smirnov test over the chi-square test.