Wilcoxon or Mann-Whitney Test 口 Hypotheses i: The two samples come from populations with the The two samples come from populations with 口 Assumptions e Each sample is a random sample from its population e More than elementary units have been chosen from each population
Wilcoxon or Mann-Whitney Test Hypotheses H0 : The two samples come from populations with the same distribution H1 : The two samples come from populations with different distributions Assumptions ⚫ Each sample is a random sample from its population ⚫ More than 10 elementary units have been chosen from each population
Sign Test: Hypotheses, Assumption Sign Test for the Median(for a Continuous Population Distribution) and o where e is the unknown population median and e is the (known) reference value being tested Sign Test for the Median(in general H: The probability of being above e the probability of being below oo in the population H: These probabilities are o where en is the(known) reference value being tested Assumption required a The data set is a random sample from the population
Sign Test: Hypotheses, Assumption Sign Test for the Median (for a Continuous Population Distribution) H0 : q = q0 and H1 : q q0 ⚫ where q is the unknown population median and q0 is the (known) reference value being tested Sign Test for the Median (in General) H0 : The probability of being above q0 equals the probability of being below q0 in the population H1 : These probabilities are not equal ⚫ where q0 is the (known) reference value being tested Assumption required: The data set is a random sample from the population
Z Test for differences in Two Proportions What it is used for To determine whether there is a difference between 2 population proportions and whether one is larger tha an the other .Assumptions .Independent samples Population follows Binomial Distribution Sample size Large Enough:mp≥5andn(1-p)≥5 for each population
Z Test for Differences in Two Proportions •What it is used for: To determine whether there is a difference between 2 population proportions and whether one is larger than the other. •Assumptions: •Independent Samples •Population follows Binomial Distribution •Sample Size Large Enough: np 5 and n(1-p) 5 for each population