Sampling Distributions

Question 1

Sampling distribution

Answer 1

generated by:

1. Taking repeated, random samples of a specified size (N) from a population (with replacement)
2. Calculating a sample statistic (like the mean) for each sample
3. Making a frequency distribution of that sample statistic

Question 2

Sampling distribution of the mean

Answer 2

mean is equal to the mean of the raw-score population

standard deviation is equal to
(the sd of the raw-score population) divided by
(the square root of N)

Question 3

Standard error of the mean

Answer 3

Measures the standard amount of difference (measurement error) between X̄ and μ that we should expect by chance

as N increases, standard error of the mean decreases

Question 4

Standard error of estimate

Answer 4

tells us how much error we should expect by chance (regression line)

Question 5

Law of large numbers

Answer 5

the larger the sample size, the smaller the standard error of the mean

Question 6

Central limit theorem

Answer 6

Sampling distribution of the mean approaches a normal distribution as sample size N increases

Question 7

Raw-score vs sampling distributions

Answer 7