One cannot always be
sure of the credibility of the data. In order to understand whether the data is
as per the requirement of the user; normality test is conducted.
Testing
for Normality
It is an assessment of the normality of data which
is a prerequisite for many statistical tests as normal data is a basic hypothesis
for testing. There are two main methods of assessing normality –
1. Graphically
2. Numerically
In order to determine whether data provided is normal or not
and, therefore, the assumption is met in data for statistical tests. The
approaches can be divided into two main themes - relying on statistical tests or visual inspection.
1.
Statistical tests have the advantage of making an objective
judgement of normality, but are sometimes disadvantaged for not being sensitive
enough at low sample sizes or overly sensitive to large sample sizes e.g. if
the sample size is two values very far of than each other thus creating a
unsuitable mean
Therefore statisticians use their experience to make a
subjective judgement about the data from plots/graphs. Shapiro-Wilk Test of Normality is
the test that needs to be done if the sample size is less than 2000.
2.
Graphical interpretation has the advantage of allowing good
judgement to assess normality in situations when numerical tests might be over
or under sensitive but graphical methods do lack objectivity.
If one is not good at interpreting normality
graphically then it is probably best to rely on the numerical methods as they
will help one to arrive at acceptable conclusions. Normal Q-Q Plot is the one
used in case of Graphical representation
Methods
of assessing normality
One can assess normality using spss.
Under Analyze àDescriptive
Analysis à
Explore Command
The Explore command can be used in isolation if I am testing
normality in one group or by splitting the dataset into one or more groups.
For example, if I have a group of participants and I need
to know if their height is normally distributed then I will split the group
into males and females (assuming that I have a categorical independent variable) then I
can test for normality of height within both the male group and the female
group using just the Explore... command.
This applies even if I have more than two groups.
However, if I have 2 or more categorical, independent variables then the
Explore... command on its own is not enough and I will have to use the Split
File... command also.
As we all know that SPSS outputs many table and graphs. One
of the reasons for this is that the Explore... command can be used for
1. Testing
of normality and
2. Describing
data in many different ways.
When testing for
normality, one is mainly interested in the Tests of Normality table and the
Normal Q-Q Plots, our numerical and graphical methods to test for the normality
of data, respectively
This way one can rely on Explore command to come to near accurate conclusions.
http://statistics.laerd.com/spss-tutorials/testing-for-normality-using-spss-statistics.php
http://statistics.laerd.com/spss-tutorials/testing-for-normality-using-spss-statistics.php
No comments:
Post a Comment