Stat 501
Experimental Statistics I
Handouts
Print off the following:
Syllabus Schedule
As we go along:
Posted lectures Homeworks Other handouts and review topics
About SAS
Read the Introduction to SAS handout if desired.
intro.sas is the file with the c
Correlation Example
options ls=72;
title1 'Gesell Correlation Example';
data gesell;
infile 'C:\gesell.txt';
input name $ age score;
yrs = age/12; /* creating new variable "yrs" which
converts age in months to age in years */
run;
symbol value = circle;
p
Exam 1 Review-Summary of topics
Chapter 1 Individuals Categorical and Quantitative variables Graphical tools for categorical variables Bar Chart Pie Chart Graphical tools for quantitative variables Stem and leaf plot Histogram Distributions Describe: Shap
Test of Mean(s):
Hypotheses:
One Sample
H 0:
Ha:
Two Sample
= 0
> 0
< 0
0
H 0:
Ha:
IF you DO know :
X 0
n
Test of Significance:
z=
Confidence Interval:
X z*
n
(X
X 0
s
n
t=
1
IF you do NOT know :
Test of Significance:
t=
Confidence Interval:
X t *
s
n
Experiments on learning in animals sometimes
measure how long it takes a mouse to find its
way through a maze. The mean time is 20
seconds for one particular maze. A researcher
thinks that playing rap music will cause the mice
to complete the maze faster
Getting Started in SAS
Some general instructions regarding homeworks:
Do not use an alternate program(s) to make any of your graphs, for now just make them
by hand, in homework 2 we will start using SAS!
Occasionally I will give special instructions for s
Two-Way Tables in SAS
options nodate pageno=1;
goptions colors=(none);
title 'Age versus College Program - class example';
data one;
input age $ program $ count;
datalines;
18below
2full
36
18below
2part
98
18below
4full
75
18below
4part
37
18to21
2full
1
Chapter 9
Now have two categorical variables to deal with where in previous chapters we only had one. The data is put into a two-way table because it accounts for all combinations of outcomes for the 2 variables.
Example:
The National Center for Educatio
STAT 501 Assignment 1
Some general instructions regarding homeworks:
Do not use an alternate program(s) to make any of your graphs, for now just make them
by hand, in homework 2 we will start using SAS!
Occasionally I will give special instructions for so
STAT 501 Assignment 2
Some general instructions:
All datasets are found on the CD that comes with the text. The names of the datasets
are listed with the exercise in the book. You should never have to be retyping data into
SAS!
A reminder that at no time
If you find a mistake, please email me ASAP: [email protected]
1.
a. 89.248
b. 0.2215
c. (61.3, 88.7)
2.
a. 0.0479
b. No.
c. 0.0256
3.
a. 0.9951
b. 0.8030
4.
a.
b.
c.
d.
N( = 0.7, = 0.0458)
0.1379
(0.6084, 0.7916)
457 guarantees less than 0.01.
5.
STAT 501
Experimental Statistics I
Purpose: To explain the essential ideas and concepts of applied statistics, including numerical
summaries, graphing, hypothesis testing, confidence intervals, two-way tables and the Chi-square,
regression and ANOVA. Also
Section 1.2
Describing Distributions with Numbers
Quantitative Data
Measuring Center
Mean Median
Measuring Spread
Quartiles Five Number Summary Standard deviation
Boxplots
Measures of Center
The mean
The arithmetic mean of a data set (average value) Denot
Section 1.3
The Normal Distributions
Topics
Density curves Normal distributions The 68-95-99.7 rule The standard normal distribution Normal distribution calculations Standardizing observations Normal quantile plots
Density curves
Density curve
Imagine a s
Sections 2.1-2.2
Looking at Data-Relationships
Data with two or more variables:
Response vs Explanatory variables Scatterplots Correlation Regression line
Association between a pair of variables
Association: Some values of one variable tend to occur more
Chapter 2 highlights
Association and Causation
Association between a pair of variables
Association: Some values of one variable tend to occur more often with certain values of the other variable Both variables measured on same set of individuals Examples:
Section 5.2
Sampling Distribution for Counts and Proportions
Preview
Population distribution vs. sampling distribution Binomial distributions for sample counts Finding binomial probabilities: tables Binomial mean and standard variation Sample proportions
Introduction to Inference Section 6.1
Estimating with Confidence
Introduction
Distinguish chance variations from permanent features of a phenomenon:
Give SAT test to a SRS of 500 California seniors
sample
mean = 461 What does it say about the mean SAT sc
Section 7.1
Inference for the mean of a population
Change: Population standard deviation () is now unknown The t distribution One-sample t confidence interval One-sample t test Matched pairs t procedures Robustness of t procedures
The t distribution:
The
Section 8.1
Inference for a Single Proportion
Recall: Population Proportion
Let p be the proportion of "successes" in a population. A random sample of size n is selected, and X is the count of successes in the sample. Suppose n is small relative to the po
Chapter 9
Two categorical variables. Data Analysis and Inference for Two-Way Tables
Topics
Important change: We switch from quantitative variables to categorical variables describing relations in two-way tables marginal distributions conditional distribut
Section 10.1
Simple Linear Regression
A continuation of Chapter 2
Statistical model for linear regression Data for simple linear regression Estimation of the parameters Confidence intervals and significance tests Confidence intervals for mean response vs.
Section 11.1
Multiple Linear Regression (MLR)
Topics-MLR
Extension of SLR Statistical model Estimation of the parameters and interpretation R-square with MLR Anova Table F-Test and t-tests
A continuation of Chapter 10
Most things are conceptually similar
Section 12.1
One-Way Analysis of Variance (ANOVA)
Inference for One-Way ANOVA
Comparing means for several groups Format of data An analogy: two sample t-statistic ANOVA hypotheses and model Understanding two types of variation Estimates of population para
Regular normal problems: (to help refresh your memory)
1. The first exam for Tadds sections of Stat 501 has a mean of 75 and a standard
deviation of 13.7.
a. What score would you have to get in order to be in the top 15% of the
class on exam 1?
b. What is