Revised on 8/22/2011 11:06 AM
Chapter 6
Statistical Inference: Significance Tests
Definition: A hypothesis is a statement (sentence) with a subject (a parameter), object (a
number) and a verb (one of the following: =, , <, >).
Hypotheses come in pairs:
T
Chapter 7 Comparing Two Populations
7.1 Some new concepts
The framework:
Until now we had one population, one random sample from that population and just one
parameter ( or ) with an unknown value and we made inference about the unknown value of
the param
Chapter 7 Comparing Two Populations
7.1 Some new concepts
The framework:
Until now we had one population, one random sample from that population and just one
parameter ( or ) with an unknown value and we made inference about the unknown value of
the param
Chapter 8 The Chi-Square Tests
Chapter 8 deals with association between two categorical variables. We will cover three tests that
are very similar in nature but differ in the conditions when they can be used. These are
A) Goodness-of-tests
B) Tests of hom
Chapter 8 The Chi-Square Tests
Chapter 8 deals with association between two categorical variables. We will cover three tests that
are very similar in nature but differ in the conditions when they can be used. These are
A) Goodness-of-tests
B) Tests of hom
Chapter 11
Inferences for Regression Parameters
11.1 Simple Linear Regression (SLR) Model
This topic is covered in Chapter 2 (which we skipped). In these notes we are going to cover
sections 2.3 to 2.10 (which in a sense describe the relation between two
Chapter 11
Inferences for Regression Parameters
11.1 Simple Linear Regression (SLR) Model
This topic is covered in Chapter 2 (which we skipped). In these notes we are going to cover
sections 2.3 to 2.10 (which in a sense describe the relation between two
Multiple Regression Analysis
The basic ideas are the same as in SLR
We have one response (dependent) variable, Y.
The response (Y) is a quantitative variable, Y ~ N ( Y |X , )
There are more than one predictors (independent variables): X1, X2, , Xk
where
Revised on 11/9/2011 19:08 a11/p11
Chapter 6
Statistical Inference: Significance Tests
Definition: A hypothesis is a statement (sentence) with a subject (a parameter), object (a
number) and a verb (one of the following: =, , <, >).
Hypotheses come in pair
Revised on 8/22/2011 11:05 AM
Chapter 5
Statistical Inference
Methods of Statistical Inference:
Point Estimation
Interval Estimation
Significance Tests (Chapter 6)
5.1 Point Estimation
A point estimator of a parameter is the sample statistic that predi
Revised on 11/9/2011 19:08 a11/p11
Chapter 5
Statistical Inference
Methods of Statistical Inference:
Point Estimation
Interval Estimation
Significance Tests (Chapter 6)
5.1 Point Estimation
A point estimator of a parameter is the sample statistic that
STA 6126 Spring 2011 Project 1
Due: Thursday, Nov. 3, 2011
Late reports will not be accepted.
Analysis of House Sales Data for Gainesville
1. Summarize the data below using your favorite statistical package, by means of a
table and a graph for each variab
Parameter
Estimator
X
X
Some formulae you may need
SE(Estimator)
or its estimate
X / n or S / n
For CI:
p
For tests:
d = 1 2
(Dependent
Samples)
Xd
(Independent
Samples)
X1 X 2
2
12 = 2
1 2
(Independent
Samples)
11
S pooled
+
n1 n2
For CI:
1 2
pp
Z=
Revised on November 9, 2011
Chapter 1
Descriptive and Inferential Statistics
Statistics is the science of
Collecting
Classifying
Analyzing
Generalizing
a set of data obtained for a special purpose.
Why study statistics?
Statistics provides methods for
Revised on August 22, 2011
Chapter 1
Descriptive and Inferential Statistics
Statistics is the science of
Collecting
Classifying
Analyzing
Generalizing
a set of data obtained for a special purpose.
Why study statistics?
Statistics provides methods for
Chapter 3 Descriptive Statistics
3.1 Tabular and Graphical Description of Data
Depends on Type of Data
Data: Here is a part of the data set to be used in the examples of this lecture.
subj
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
ge
m
f
f
f
m
m
m
f
m
m
m
f
m
m
Chapter 3 Descriptive Statistics
3.1 Tabular and Graphical Description of Data
Depends on Type of Data
Data: Here is a part of the data set to be used in the examples of this lecture.
subj
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
ge
m
f
f
f
m
m
m
f
m
m
m
f
m
m
Revised on November 9, 2011
Chapter 4 Probability Distributions
A Statistical Experiment is any activity that has
a) 2 or more possible outcomes
b) Uncertainty about which outcome will be observed until the end of the experiment.
The sample space of a sta
Revised on August 22, 2011
Chapter 4 Probability Distributions
A Statistical Experiment is any activity that has
a) 2 or more possible outcomes
b) Uncertainty about which outcome will be observed until the end of the experiment.
The sample space of a stat
Multiple Regression Analysis
The basic ideas are the same as in SLR
We have one response (dependent) variable, Y.
The response (Y) is a quantitative variable, Y ~ N ( Y |X , )
There are more than one predictors (independent variables): X1, X2, , Xk
where