Sunday, March 30, 2014

What statistical analysis should I use?

Number of
Dependent
Variables
Nature of
Independent
Variables
Nature of Dependent
Variable(s)
Test(s)
1
 0 IVs
(1 population)
interval & normal
one-sample t-test
ordinal or interval
one-sample median
categorical
 (2 categories)
binomial test
categorical
 Chi-square goodness-of-fit
 1 IV with 2 levels
(independent groups)
interval & normal
2 independent sample t-test
 ordinal or interval
Wilcoxon-Mann Whitney test
 categorical
 Chi- square test
Fisher's exact test
1 IV with 2 or more levels (independent groups)
interval & normal
one-way ANOVA
ordinal or interval
Kruskal Wallis
categorical
Chi- square test
1 IV with 2 levels
(dependent/matched groups)
interval & normal
paired t-test 
 ordinal or interval
Wilcoxon signed ranks test 
 categorical
McNemar
1 IV with 2 or more levels
(dependent/matched groups)
interval & normal
one-way repeated measures ANOVA
ordinal or interval
Friedman test
categorical
repeated measures logistic regression
2 or more IVs
(independent groups)
interval & normal
factorial ANOVA
ordinal or interval
ordered logistic regression
categorical
factorial
logistic regression
1 interval IV
interval & normal
correlation 
simple linear regression
ordinal or interval
 non-parametric correlation
categorical
simple logistic regression
1 or more interval IVs and/or
1 or more categorical IVs
interval & normal
multiple regression
analysis of covariance
categorical
multiple logistic regression
discriminant analysis
2 or more
1 IV with 2 or more levels
(independent groups)
interval & normal
one-way MANOVA
2 or more
2 or more
interval & normal
multivariate multiple linear regression
2 sets of
2 or more
0
interval & normal
canonical correlation
2 or more
0
interval & normal
factor analysis
Number of
Dependent
Variables
Nature of
Independent
Variables
Nature of Dependent
Variable(s)
Test(s)

Source: http://www.ats.ucla.edu/stat/stata/whatstat/
http://www.ats.ucla.edu/stat/stata/whatstat/whatstat.htm#1sampt


In statistics, Spearman's rank correlation coefficient or Spearman's rho, named after Charles Spearman and often denoted by the Greek letter  (rho) or as , is a nonparametric measure of statistical dependence between two variables. It assesses how well the relationship between two variables can be described using a monotonic function. If there are no repeated data values, a perfect Spearman correlation of +1 or −1 occurs when each of the variables is a perfect monotone function of the other.


Risk vs Uncertainty

Risk applies to situations where we do not know the outcome of a given situation, but can accurately measure the odds. Uncertainty, on the other hand, applies to situations where we cannot know all the information we need in order to set accurate odds in the first place.