What connection between two categorical variables Paired T-test

What
is Inferential Statistics?

Inferential
statistics is the branch which deals with predictions and making conclusions
about a study. In other words, we use inferential statistics when examination of each member of an entire population is not
convenient or possible. For example, instead of measuring the diameter of every
nail manufactured in a factory, we use a random nail sample. By using its
information we make generalization about the diameters of all nails in the
factory. In this case the nails are called a population. Simply population is
any group of data. The method which is used in inferential statistics is called
sampling. We can relate to another example concerning students, for instance we
can’t get all the results of students living in USA but in fact we can use
inferential statistics to obtain information rather than gathering all their
results.

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What are the main types?

And now after we discussed the definition of inferential stat.
we can move on the main types. According to the type of research, we use a
corresponding statistical method. But before we decide we must examine the data
first. If the data is normally distributed then we will go with parametric
tests while if it is not normally distributed then we will choose the non
parametric tests.  Below, there are some
of inferential main types and their uses.

 

Type
of test

Uses

Correlation  

Searches for relationship between variables

Pearson correlation

Important for the strength of the relationship between two
continuous variables

Spearman correlation

Important for the strength of the link between two ordinal
variables

Chi-square

Tests for the strength of the connection between two
categorical variables

Paired T-test

Important for the difference between two connected variables

Independent T-test

Important for the difference between two independent variables

ANOVA

Used for the difference between group means after any
other variance in the outcome variable is accounted for

Simple regression

Important for how change in the predictor variable predicts
the level of change in the outcome variable

Multiple regression

Vital for how change in the combination of two or more
predictor variables predict the level of change in the outcome variable