In: Statistics and Probability
How would you apply the output from either a one-sample or two-sample test of hypothesis or Analysis of Variance (ANOVA) to solve a business problem?
1) ONE SAMPLE TEST
one sample test we use when there is only one factor under study and along with we need to study only sample characteristics of data in which all sample points are independent . A one sample test of means compares the mean of a sample to a pre-specified value and tests for a deviation from that value.
For example we might know that the average birth weight for white babies in the US is 3,410 grams and wish to compare the average birth weight of a sample of black babies to this value.
2) TWO SAMPLE TEST
two sample test we use when there is only one (or two) factor under study and along with we need to study relationship (or equality ) of sample characteristics of two data set in which all sample points are independent .but two sample data set may be dependent.
for example :
• Compare the effects of two soporific drugs – Optical isomers of hyoscyamine hydrobromide
• Each subject receives a placebo and then is randomly assigned to receive Drug 1 or Drug 2
• Dependent variable: Number of hours of increased sleep over control
• Drug 1 given to n1 subjects, Drug 2 given to n2 different subjects
Study question: Is Drug 1 or Drug 2 more effective at increasing sleep? – H0 : µ1 = µ2 , H1 : µ1 > µ2
3) ANALYSIS OF VARIANCE
ANOVA we use when there is two or more factor under study and along with we need to study relationship (or equality ) of sample characteristics of two data set in which all sample points are independent .but any two sample data set may be dependent.
for example:
Situation 1: You have a group of individuals
randomly split into smaller groups and completing different tasks.
For example, you might be studying the effects of tea on weight
loss and form three groups: green tea, black tea, and no tea.
Situation 2: Similar to situation 1, but in this
case the individuals are split into groups based on an attribute
they possess. For example, you might be studying leg strength of
people according to weight. You could split participants into
weight categories (obese, overweight and normal) and measure their
leg strength on a weight machine.