15-1
McGraw-Hill/Irwin © 2003 The McGraw-Hill Companies, Inc.,All Rights Reserved.
ANALYSIS AND
PRESENTATION OF DATA
Dr. Ratna Candra Sari
Email:
15-2
Descriptive Statistics
•
Distribution Descriptors
–
Location
• Central Tendency
– Mean
– Median
15-3
Descriptive Statistics
•
Distribution Descriptors
–
Spread
• Variance,
• Standard Deviation,
• Range,
15-4
Descriptive Statistics
•
Distribution Descriptors
–
Shape
•
Skewness
15-5
Techniques to Display
and Examine Distributions
•
Frequency Table
•
Visual Displays
– Histograms
–
Stem-and-leaf display
–
Box-plot
15-6
•
Research Without Hypothesis
15-7
Types of Hypotheses
•
Null
– that no statistically significant difference
exists between the parameter and the statistic being compared
•
Alternative
– logical opposite of the null hypothesis
– that a statistically significant difference
15-8
Logic of Hypothesis Testing
•
Two tailed test
– nondirectional test
– considers two possibilities
•
One tailed test
– directional test
– places entire probability of an unlikely
15-9
Decision Errors in Testing
•
Type I error
– a true null hypothesis is rejected
•
Type II error
15-10
Testing for Statistical Significance
•
State the null hypothesis
•
Choose the statistical test
•
Select the desired
level of significance
•
Compute the calculated difference value
•
Obtain the
critical value