Paired data in statistics, often referred to as ordered pairs, refers to two variables in the individuals of a population that are linked together in order to determine the correlation between them. In order for a data set to be considered paired data, both of these data values must be atta...
There's also a common trap where "significant" is used interchangeably with "important." While this might work in everyday conversation, in the realm of statistics, "significant" has a very specific meaning - it refers to the likelihood that a result is not due to random chance. That said...
The formula for computing the t-value and degrees of freedom for a paired t-test is: T=mean1−mean2s(diff)(n)where:mean1andmean2=The average values of each of the sample setss(diff)=The standard deviation of the differences of the paired...
Robust statistics, therefore, are any statistics that yield good performance when data is drawn from a wide range of probability distributions that are largely unaffected by outliers or small departures from model assumptions in a given dataset. In other words, a robust statistic is resistant to er...
Yes, ANOVA tests assume that the data is normally distributed and that variance levels in each group are roughly equal. Finally, it assumes that all observations are made independently. If these assumptions are inaccurate, ANOVA may not be useful for comparing groups. ...
The number of degrees of freedom associated with the t-test, when the data are gathered from a paired samples experiment with 12 pairs, is 24. - True - False If we conduct a t test for independent samples, and n1 = 32 and n2 = 35, the degrees of freedom (df) ...
What is the relationship between sample size (replication), precision among data values, error bar size, and confidence in results?Statistics:Statistics is the branch of mathematics concerned with creating and studying methods for gathering, analyzing, i...
Nowadays, the “Eratosthenes experiment” is run every year on the March equinox, in which schools at the same longitude are paired up to measure the elevation of the Sun at the same point in time, in order to obtain a measurement of the circumference of the Earth. (The equinox is more...
The formula for computing the t-value and degrees of freedom for a paired t-test is: T=mean1−mean2s(diff)(n)where:mean1andmean2=The average values of each of the sample setss(diff)=The standard deviation of the differences of the paired data values...
In a standard normal distribution, above which z-score do approximately 57% of the data lie? What is a critical z value in statistics? If you know your mean has a z-score of 1.23, what proportion of the population falls above and below that score?