Multiple Samples Inference Examples
1. In a pediatric clinic study, researchers wish to see how
effective aspirin is in reducing temperature. Use the following
data to test if the aspirin is reducing the temperature, at 5%
level of significance.
Child
1
2
VOLUME
114,
NUMBER
4: 225236 |
JULY
2009
AJIDD
Risk of Fall for Individuals With Intellectual Disability
Yoichi Chiba and Atsuyoshi Shimada
Institute for Developmental Research, Aichi Human Service Center (Kasugai, Aichi,
Japan)
Futoshi Yoshida
Central Ho
Nonparametric Statistics
Parametric Procedures
1. Involve Population Parameters
Example: Population Mean
2. Require Interval Scale or Ratio Scale
Whole Numbers or Fractions
Example: Height in Inches (72, 60.5, 54.7)
3. Have Stringent Assumptions
Examp
Inference for Two Means
Notations
Inference for
Comparing Two Populations
1, 2 : Population means
1, 2 : Population standard deviations
Two Independent Random Samples were taken
from both filtered and non-filtered cigarettes
produced by a factory. (number
Nonparametrics for a central value
Example
Nonparametrics
A random sample of ten 400-gram soil specimens
were sampled in location A and analyzed for certain
contaminant. The sample data are the followings:
One Sample Inference
65, 54, 66, 70, 72, 68, 64,
Power and Sample Size Estimation
Power and Sample Size for Testing Means and Proportion
Type I & Type II Error
Type I Error: reject the null hypothesis when it is true. The probability of a Type I Error is
denoted by .
Type II Error: accept the null hypot
Power and Sample Size for Testing Mean
Type I & Type II Error
Type I Error: reject the null hypothesis
when it is true. The probability of a Type
I Error is denoted by .
Type II Error: accept the null
hypothesis when it is false and the
alternative hypo
Inference on One Mean
A Normal Distribution
Latest Cholesterol Levels Standards
Rating Category
LDL Cholesterol*
HDL Cholesterol
Triglycerides
Less than 100
60-90 or higher
100 or less
Near optimum 100-129
50-59
100-149
Increased risk 130-159
41 to 49
150
Descriptive Statistics
Statistics in Broader Sense
Statistics is a field of study concerned with the
Applied Statistics
Advanced Data Analysis
1) data collection, [Producing data]
2) organization, summarization, examination
and providing an overview of th
Exercise Problems on Statistical Inference
1. A researcher hypothesized that the average heart performance score (HPS) for a certain population
is less than 7. A sample of 9 subjects randomly chosen from this population was taken and data is
the following
Wilcoxon (Mann-Whitney) Test for Two Independent Samples
The following is example of nonparametric test for two independent samples. The data set used in the example
is studentp.sav which can be download from Dr. Changs web page. The example is for compar