Two random samples are dependent if each data value in one sample can be paired with a corresponding data value in the other sample.
Two random samples are dependent if each data value in one sample can be paired with a corresponding data value in the other sample.
You can compare the means of two dependent or independent samples. You can also set up confidence intervals. For independent samples you test the claim that the two means are not equal; the null hypothesis is mean1 equals mean2. The alternative hypothesis is mean1 does not equal mean2. For dependent (paired) samples you test the claim that the mean of the differences are not equal; the null hypothesis is the difference equals zero; the alternative hypothesis is the difference does not equal zero.
dependent. because this set of numbers is dependent on what is put into the data table.
Data gathering in two different samples such that there is matching of the first sample data drawn and a corresponding data value in the second sample.
two samples are independent if they are drawn from two different populations, and/ or the samples have no effect on each other. eg: We want to estimate the difference between the mean salaries of all male and all female executives. We draw one sample from the population of male executives and another from the population of female executives. These two samples are independent because they come from different populations and the samples have no effect on each other Rate This Answer
Independence of the two samples means that the choosing of the first sample did not influence the choosing of the other sample, and vice versa. For example, if you were comparing running speed in two different brands of running shoes, you could look at two samples of people running a 100 m dash -- one sample of people running in Brand A and one sample of people running in Brand B. If those two groups were picked independently of one another, these samples would be independent. If, instead, you had the same group of people run the race twice (once in each brand of shoe), these samples would be dependent. Samples that are not independent are said to be "correlated", "interdependent", or "dependent". Because the two samples are correlated, you might get incorrect findings for your statistical study. For example, say you want to compare the heights of boys and girls. If you chose the samples by choosing a girl for the girl sample, then choosing her brother for the boy sample, your statistical analyses might be misleading if you didn't account for the fact that tall girls are more likely to have tall brothers, and short girls are more likely to have short brothers. By choosing siblings for the two groups, you have made the two samples not independent of one another. If the independence assumption is violated, you have to do a special type of statistical test. For example, instead of doing a two-sample t-test, you would have to do a paired t-test.
Either. You could have carbon isotope ratios as your independent and carbon age as your dependent. or You could have the carbon age of soil samples as your independent and the artefacts that you are trying to date as the dependent.
You use the t-test when the population standard deviation is not known and estimated by the sample standard deviation. (1) To test hypothesis about the population mean (2) To test whether the means of two independent samples are different. (3) To test whether the means of two dependent samples are different. (4) To construct a confidence interval for the population mean.
Nova net answer: They are the same
There are two dependent clauses.
If the two samples are of size n1 and n2 then the t-statistic is distributed with n1 + n2 - 2 degree of freedom.
because