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Consider a measurement scale with which you are familiar that you know to be a ratio scale, say, distance. If two roads are five kilometres and three kilometres long respectively then they differ in length by two kilometres. If two other roads are nine kilometres and 7 kilometres long then they also differ in length by the same amount. Furthermore, that two kilometre distance is the same in both cases; it would take the same effort to travel that two kilometre distance on either road. This implies that distance is a ratio scale.
However, suppose persons A and B score 110 and 125 respectively on some test, a difference of 15 test points; meanwhile C and D score 75 and 90 on the test, again a difference of 15 test points. In general it would be impossible to know whether the difficulty in going from a score of 75 to 90 would be the same as going from 110 to 125. But of course the scores are ordered by difficulty. Therefore, the test scores make ordinal data.
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What type of data is random test scores ordinal or nominal?
ratio
What statistical test do you use for nominal by ordinal data?
Kruskal-Wallis H test.
Are multiple choice tests measured at ordinal scale or interval scale?
Ordinal. Tests responses are usually correct or incorrect. This would be assigned a value and the number of correct answers is the score of the test. There is a logical order, a correct answer is better than an incorrect answer, so it is not nominal data. Even though we calculate averages, test responses are not interval data, as there is no meaning to the interval. See related link.
Which conditions must be met to conduct a test for the difference in two sample means?
The two samples must be independent and the data must be at least ordinal. Under those conditions the Mann-Whitney U test can be used.
What test assess two ordinal variables?
spearman rhos
What type of data is random test scores ordinal or nominal?
ratio
What statistical test do you use for nominal by ordinal data?
Kruskal-Wallis H test.
What level of measurement are scores on a SAT test?
ratio
Can you do an ANOVA with nominal data?
The independent variable in ANOVA must be categorical (either nominal or ordinal). The dependent variable must be scale (either interval or ratio). However, it is possible to recode scale variables to categorical and vice versa in order to perform ANOVA. While this is a common practice in many social sciences, it is controversial. I have also seen studies where ordinal data is treated as scale in ANOVA. Personally, I do not endorse either practice as they are tailoring the data to fit the test instead of the proper method of selecting a test that fits the data.
When should the Kruskal-Wallis test be used?
The Kruskal-Wallis test should be used when you have three or more independent groups and want to compare the medians of non-normally distributed data. It is a non-parametric alternative to the parametric ANOVA test and can be applied when the assumptions for ANOVA, such as normality and homogeneity of variances, are violated. The Kruskal-Wallis test is particularly useful when working with ordinal or skewed interval/ratio data.
Are multiple choice tests measured at ordinal scale or interval scale?
Ordinal. Tests responses are usually correct or incorrect. This would be assigned a value and the number of correct answers is the score of the test. There is a logical order, a correct answer is better than an incorrect answer, so it is not nominal data. Even though we calculate averages, test responses are not interval data, as there is no meaning to the interval. See related link.
Which type of graph is best suited for relating data from two different variables like students' math test scores versus their reading test scores?
scatter plot
What is the definition of ordered data?
Ordered data is pretty simple. It is data which is measured (or found from a test) in ordinal types of measurement. E.G. 1 cat, 2 cats, 3 cats etc.
What is the F ratio test and how is it different from Chi square square test?
A F-ratio test compares 2 variances and tell if they are significantly different. A Chi-square test compares count data.
How do you determine if variances are similar?
If the two distributions can be assumed to follow Gaussian (Normal) distributions then Fisher's F-test is the most powerful test. If the data are at least ordinal, then you can use the Kolmogorov-Smirnov two-sample test.
Why do you want to go to Culver Military Academy?
Culver Academies test scores, student-teacher ratio, parent reviews and teacher.
How does recess affect test scores?
recess does improve test scores.
