Quantitative Methods for
Psychology
Summer 2015
Ruthy Glass
[email protected]
Syllabus
Please take out your syllabi
Any questions?
Lets jump right in!
What Are Statistics?
Statistics = St
Name:
Quiz 2
1. What is the difference between a one-independent sample t-test (when the
M
equation is t=
) and a two-independent-samples t-test (when the
sM
equation is
( M 1M 2 ) (1 2)
t=
)?
s(M M
NAME:
Quiz 1
1. What is the difference between this equation for the z-score
and this equation for the z-score
z=
M
M
z=
X
? When would we use each
one?
The first equation is used when we are compari
QUANTITATIVE METHODS EXAM 1 (COMPUTATIONAL SECTION)
NAME_
SECTION_
Answer all of the following questions. FOR EVERY PROBLEM, Show the value of the obtained inferential
statistic (e.g., t = 2.17, z = 1
Introduction to the Analysis of Variance
(ANOVA)
Intro to ANOVA
The Analysis of Variance (ANOVA)
The analysis of variance (ANOVA) is a statistical technique for
testing for differences between the me
Estimation and Confidence Intervals
Estimation and Confidence Intervals
Estimation
Estimation a statistical procedure in which a sample statistic
is used to estimate the value of an unknown populatio
Quantitative Methods in Psychology:
Course Introduction
Course Introduction
Quantitative Methods in Psychology (830:200)
Instructor: Dr. Melchi M. Michel
Lectures:
T, Th 5:00-6:20pm in Hill Auditori
Measures of Variability
Measures of Variability
Measures of Dispersion (Variability)
I previously introduced central tendency as a statistical
measure that describes the center of the distribution of
Basic Statistical Concepts, Research
Design, & Notation
Basic Statistical Concepts
Variables, Scores, & Data
A variable is a characteristic or condition that can change or
take on different values.
Sample Computational Problems for Midterm 1 Review
1. Compute the mean and standard deviation for the following sample of data:
11, 14, 10, 7, 12, 3
x 57
x
2
M
619
1
57
x 6 9.5
n
SS x
s
2
x
2
n
6
The One-Way Repeated-Measures ANOVA
(For Within-Subjects Designs)
Repeated-Measures ANOVA
Logic of the Repeated-Measures ANOVA
The repeated-measures ANOVA extends the analysis of
variance to research
The One-Way Independent-Measures
ANOVA
(For Between-Subjects Designs)
One-Way ANOVA
Computations for the ANOVA
In computing the terms required for the F-statistic, we wont
explicitly compute any samp
Basic Concepts of Probability
Basic Concepts of Probability
Probability
Probability theory is the branch of math that deals with
unpredictable or random events
Probability is used to describe how li
Introduction to Hypothesis Testing
Hypothesis Testing
Background
Since the first lecture, weve repeatedly discussed the fact
that we compute statistics on samples to make inferences
about populations
Comparing Means:
t-Tests for One Sample & Two Related
Samples
t-Tests for One Sample & Two Related Samples
Using the z-Test: Assumptions
The z-test (of a sample mean against a population mean) is
bas
Comparing Means:
t-Tests for Two Independent Samples
t-Tests for Two Independent Samples
Independent-Measures Designs
Allows researchers to evaluate the mean difference between
two populations using
Comparing Means:
z-Tests for One Sample
z-Tests and t-Tests for One Sample
Back to Our Example Problem
Alternative (Research) Hypothesis H1:
Dr. M is not an average instructor. His students either a
The Normal Distribution & z-Scores
The Normal Distribution
Distributions: Who needs them?
Why are we interested in distributions?
Important link between distributions and probabilities of
events
If
Displaying Data
Displaying Data & Central Tendency
Frequency Distributions
After collecting data, the first task for a researcher is to
organize and summarize the data to get a general overview of
th
GEMP40010 - Introduction to Quantitative Research Methods
Credits : 10
Module Co-ordinators : Dr Patrick Murphy & Caroline OKelly
Module Description :
This module is worth 10 credits and is aimed at f
Confidence Intervals
Confidence Intervals are an extension of the concept of
Margin of Error which we met earlier in this course.
Remember we saw:
The sample proportion will differ from the
populatio
ANOVAs
Chapter 12
Exams
Range: 26-96
Mean: 70.31
Median: 72
Mode: 60
Standard deviation: 15.52
First Exam: =72.10, = 15.53
First exam
Extra Credit
On your next quiz (Monday), I will be
taking three qu
Two Factor ANOVA
(Independent Measures)
Chapter 14
June 23rd
Evaluations
June 24th July 1st
Two-Factor ANOVAs
So far we have been talking about how
1 variable affects a population.
What about two vari
Variability and z-scores
Thursday, May 28th
Variability
Chapter 4
Variability
The goal for variability is to obtain a
measure of how spread out the
scores are in a distribution.
A measure of variabi
Frequency Distributions
and Central Tendency
Wednesday, May 27th
Yesterday
Any questions from yesterday?
Chapter 2
Frequency Distributions
Frequency Distributions
After collecting data, the first tas
Independent Samples and
Repeated Sample t-tests
Chapters 10 and 11
Independent t-Test
The t Test For Two Independent
Samples
Chapter 10
Independent-Measures
Designs
Allows researchers to evaluate the
Post-Hoc Tests and Repeated Measures
ANOVA
Chapter 12 and Chapter 13
But First
As a review for yesterday, were going
to be doing a problem together, which
is another kind of problem you could
get on a
Quantitative Method
Practice Exam 1
Question 1 (3 marks)
At a hospital nursing station the following information is available about a patient.
o
Temperature:
30.2 C
Blood Type:
A
Response to treatment
Quantitative Methods Assessment Number 1
Exam number:_
Answer ALL questions. Each is worth 10% except Question 9, which is worth 20%. Your completed paper
must be in the box by 1200 Friday 3 November.