Embedded Files
CALCULATE While Using 2-Way Tables:
CALCULATE While Using 2-Way Tables:
Find Joint Relative Frequency
EXAMPLE: Find the probability of selecting a man in the humanities department or a woman in the humanities department
SOLUTION: 4/57 + 10/57 = 14/57 * 100% = 14.56%
Joint Conditional Relative Frequency
EXAMPLE: Given a woman, find the probability of selecting a humanities major or natural science major.
SOLUTION: 10/34 + 10/34 = 20/34 * 100% = 58.82%
Conditional Relative Frequency
EXAMPLE: Given a woman, find the probability of selecting a humanities major.
SOLUTION: 10/34 * 100% = 29.41%
Marginal Relative Frequency
EXAMPLE: Find the probability of a humanities major.
SOLUTION: 14/57 * 100% = 24.56%
Analyze for Independence
EXAMPLE: Does there appear to be an association between being male and being a humanities major?
SOLUTION: The probability of being male is 23/57 * 100% = 40.35%. The probability of being male given a person is a humanities major is 4/14 * 100% = 28.57%. Since these two values are different, there appears to be an association between being male and being a humanities major.
DESCRIBE the Association from a:
DESCRIBE the Association from a:
Ribbon Segmented Bar Graph...USE R.A.M.M. method!
Rule of Thumb: If there were no association, the % of change between categories of Tool would be different between variables of amount of use.
Association: There appears to be an association as in some instances, tools were used more frequently than other tools, Tools 1 and 7 specifically had no 'never' or 'rarely' rating.
Max: The highest frequency is Tool 3 with 'Sometimes'.
Min: The lowest frequency is Tool 1 and Tool 7, with a 0 count for 'Never' and 'Rarely'.
DESCRIBE the Association from a:
DESCRIBE the Association from a:
Side-by-Side Bar Graph...USE R.A.M.M. method!
Rule of Thumb: If there were no association, the trend of change between categories of education would be different between variables of gender.
Association: There appears to be an association as the difference in percentage between genders varies between education.
Max: The highest conditional percentage is Female for 'Did not complete secondary education'
Min: The lowest conditional percentage is Male for 'Attended upper secondary education'.
DRAW, from a 2-Way Contingency Table:
DRAW, from a 2-Way Contingency Table:
Side-by-Side Ribbon Segmented Bar Graph with Perfect or Near Perfect Independence
Title
Legend
Labels for x-axis and y-axis
y-axis can be in counts (frequency) or relative frequency (r.f.)
Most important, the conditional distribution of each bar should be equal in the event of perfect independence. In other words, the bars should be identical in segments.
DRAW, from a 2-Way Contingency Table:
DRAW, from a 2-Way Contingency Table:
Side-by-Side Bar Graph
Title
Legend
Labels for x-axis and y-axis
y-axis can be in counts (frequency) or relative frequency (r.f.)
Page updated
Google Sites
Report abuse