The document presents a seminar on the applications of statistics in psychology, highlighting the importance of statistical methods in analyzing psychological data. It covers fundamental concepts of psychology, types of statistical tests used, and a specific example involving a hypothesis test comparing abstract reasoning between men and women. References to key resources are also provided to support the content discussed.

1. Yashwantrao Chavan Institute of Science, Satara
Department of Statistics
M.Sc.1 August 2017-2018
Seminar on
Applications of Statistics in
Psychology
Presented by,
Patil Pooja Rajaram
Roll No. 115

2. Content:
 Introduction
 What is psychology ?
 Importance of statistics in psychology?
 Uses
 Example
 Reference

3. Introduction:
Psychology is a science, which means that in order to
understand people’s thoughts and behaviors a basic
understanding of statistics is necessary. Most of the
psychology studies use inferential statistics , because statistics
allows us to make sense of and interpret a great ideal
information.

4.  What is Psychology?
A scientific study of human mind and its functions,
especially those affecting behavior in a given context
including all aspects of conscious and unconscious
experience as well as thought.
 What is Psychological statistics?
Psychological statistics is the application of
formulas,theorems and laws of statistics to psychology.

5.  Why statistics is important in psychology?
In psychology, we are also confronted by
enormous amount of data. How do changes in one
variable impact other variable? Is there a way we can
measure that relationship? Statistics allows
psychologists to :
 Organize data
 Describe data
 Make inferences based upon data

6. Commonly used statistical test in psychology are:
 Parametric tests:
• Student’s t-test
• Analysis of variance (ANOVA)
• Regression analysis
• Correlation
Non parametric test:
• Chi-square test
• Mann –Whitney U test

7. Example:
An educational psychologist feels that women are
better at abstract reasoning than men. To test this
hypothesis, he collected the following percentile scores for 6
women and 7 men :
Solution:
We have to test,
H0 :Women and men have equal ability of abstract
reasoning.
v/s
H1 :Women are better than men.
Women 81 80 50 95 93 85
Men 70 86 60 92 82 69 94

8. The combined ordered sequence is,
50,60,69,70,80,81,82,85,86,92,93,94,95
The ranks assigned to the sequence are,
1,2,3,4,5,6,7,8,9,10,11,12,13
The sum of the ranks of second group (men) is,
2+3+4+7+9+10+12=47
i.e. R2 =47
Now, we find Dij in case, Y precedes X.
Di1=5, Di2=5, Di3=5, Di4=3, Di5=2, Di6=2, Di7=1
Thus, U= ∑Dij =5+5+5+3+2+2+1 =23

9. Here, n1=6 and n2=7
The sum of ranks of Y = R2 =47
U = n1n2 +
𝑛2
(𝑛2
+1)
2
− 𝑅2
=42+28 -47 = 23
Here, for 𝛼 = 0.05,
U 𝛼 = 9 and
U1- 𝛼 =n1*n2-U 𝛼
= 42-9 = 33
Thus, U 𝛼 < U < U1- 𝛼
Accept Ho at 5% l.o.s.
i.e. Women and men have equal capacity of abstract reasoning.

10. References :
 Google
 Programmed statistics by B. L. Agarwal
 Fundamentals of applied statistics

11. THANK
YOU ……