Statistical Analysis: T-test, ANOVA, Repeated Measures, Two-Way ANOVA

This assignment provides an overview of key statistical methods, including the T-test, ANOVA, and Repeated Measures ANOVA, along with examples of their application. It begins by explaining the use of the T-test for both independent and related samples, illustrating how it can be used to compare the means of two groups or the same group at different times. The assignment then explores the limitations of the T-test and introduces ANOVA as a method for comparing the means of more than two groups. It also covers Repeated Measures ANOVA, which is suitable for analyzing data where the same subjects are measured multiple times. Finally, the assignment discusses Two-Way ANOVA, which is used to examine the effects of two or more factors and their interactions. Each method is explained with clear examples, making it a valuable resource for students learning statistical analysis.

Statistics psychology
Institution:
Name:

SERVICES
Concept Example Formula
There are cases whereby an
a researcher want to identify
the mean difference
between two independent
groups thus the appropriate
method is the t-test for two
independent sample.
For instance, a
research may be
interest in evaluating
the mean difference in
IQ levels between
males and females
aged between 15 years
and 20 years.
1
T-test for two independent samples

SERVICES
Concept Example Formula
There are cases whereby an
a researcher want to identify
the mean difference
between two related groups
thus the appropriate method
is the t-test for two related
sample.
For instance, a clinician
may test the mean
difference between the
before and after the
use of particular drug
by patients.
1
T-test for two related samples

SERVICES
Concept Example Formula
One limitation for the t-test
is it inability to exhibit the
mean difference between
more than two samples, thus
to curb the above challenge
it is appropriate to use
ANOVA
For instance, a farmer
may be interest in
evaluating the mean
difference in yields
among three soil types,
which include sandy,
loam, and clay
1
Introduction to Analysis of Variance

SERVICES
Concept Example Formula
Similar to ANOVA, the method
is applicable in cases whereby a
research seeks to compare
means across one or more
variables that are based on
repeated observations
For instance, a
researcher can test the
acceptance of product
buy assigning a group
of people into 2
sections which will be
monitored over a
period of 3 weeks.
1
Repeated Measures Analysis of Variance

SERVICES
Concept Example Formula
Similar to ANOVA, the method
is applicable in cases whereby a
research seeks to test more
that two factors or their
interactions
For instance, the method
can be used to exhibit if
there is an interaction
between different levels
of fertilizer and soil type
on potato yield.
1
Two-Way Analysis of Variance