St. Johns College of Arts and Sciences
Fall 2009 Semester
Course Outline:
MTH 1250: Statistical Applications for Pharmacy and Allied
Health (CRN: 70838)
Credit hours: 3
Instructor:
Clover Hall, Ed.D.
Vice President of Institutional Research & Academic Pla
2011/09/13
Introduction to Probability
and Statistics
Thirteenth Edition
What is Probability?
In Chapters 2 and 3, we used graphs
and numerical measures to describe
data sets which were usually samples.
We measured how often using
Relative frequency = f
9/2/2011
Bivariate Data
Introduction to Probability
and Statistics
Thirteenth Edition
When two variables are measured on a
single experimental unit, the resulting
data are called bivariate data.
You can describe each variable
individually, and you can a
Introduction to Probability
and Statistics
and
Thirteenth Edition
Chapter 15
Nonparametric Statistics
What are
Nonparametric Statistics?
Nonparametric
In all of the preceding chapters we have
focused on testing and estimating
parameters associated with d
Introduction to Probability
and Statistics
and
Thirteenth Edition
Chapter 14
Analysis of Categorical
Data
Introduction
Introduction
mm m
m
mm
Many experiments result in measurements
that are qualitative or categorical rather
qualitative categorical
than
Introduction to Probability
and Statistics
and
Thirteenth Edition
Chapter 13
Multiple Regression
Analysis
Introduction
Introduction
We extend the concept of simple
linear regression as we investigate a
response y which is affected by
several independent
Introduction to Probability
and Statistics
and
Thirteenth Edition
Chapter 12
Linear Regression and
Correlation
Introduction
Introduction
In Chapter 11, we used ANOVA to
investigate the effect of various factor-level
combinations (treatments) on a respons
Introduction to Probability
and Statistics
and
Thirteenth Edition
Chapter 11
The Analysis of Variance
Experimental Design
Experimental
The sampling plan or experimental
sampling
design determines the way that a sample is
design
selected.
In an observati
Introduction to Probability
and Statistics
Thirteenth Edition
Chapter 10
Inference from
Small Samples
The Sampling Distribution
of the Sample Mean
When we take a sample from a normal
population, the sample mean x has a
normal distribution for any sample
Introduction to Probability
and Statistics
Thirteenth Edition
Chapter 9
Large-Sample Tests of
Hypotheses
Introduction
Similar to a courtroom trial. In trying a
person for a crime, the jury needs to
decide between one of two possibilities:
The person is
Introduction to Probability
and Statistics
Thirteenth Edition
Chapter 8
Large-Sample Estimation
Types of Inference
Estimation:
Estimating or predicting the value of the
parameter
What is (are) the most likely values of
m or p?
Hypothesis Testing:
Dec
Introduction to Probability
and Statistics
Thirteenth Edition
Chapter 7
Sampling Distributions
Introduction
Parameters are numerical descriptive measures
for populations.
For the normal distribution, the location and
shape are described by m and s.
For
2011/09/13
Introduction to Probability
and Statistics
Thirteenth Edition
Chapter 6
The Normal Probability
Distribution
Continuous Random Variables
A smooth curve describes the probability
distribution of a continuous random variable.
The depth or density
2011/09/13
Introduction
Introduction to Probability
and Statistics
Thirteenth Edition
Discrete random variables take on only a
finite or countably infinite number of
values.
Three discrete probability distributions
serve as models for a large number of
9/1/2011
Introduction to Probability
and Statistics
Thirteenth Edition
Chapter 2
Describing Data
with Numerical Measures
Measures of Center
A measure along the horizontal
axis of the data distribution that
locates the center of the
distribution.
Describi
9/1/2011
Introduction to Probability
and Statistics
Thirteenth Edition
Chapter 1
Describing Data with
Graphs
Definitions
An experimental unit is the
individual or object on which a
variable is measured.
A measurement results when a
variable is actually
City/Highway Driving
The EPA's formula for the rating of gas usage: MPG 55/45 = _1_ 0.55_ + _0.45_ City MPG Highway MPG Below is a real life example of City MPG vs. Highway MPG in cars from the year 1975 to 2005.
CARS
Model City HWY 55/45 Year MPG M
Definitions for Statstics
Frequency Distribution Table: Data that is grouped into classes or intervals. Each data falls into one category or class. Mean: The average of a group of numbers divided by how many samples there are. The mean is expressed i