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Nominal
— data: categorical data; objects fall into mutually exclusive unordered categories
Ex: insurance type, ethnicity, gender
ordinal
— data: categorical data; order is important
ex: likert-type scales, military rank
interval
— data: continuous data; legitimate mathematical values
Ex: temperature
ratio
— data: continuous data; equal intervals between values
ex: height, weight, time, length
mean
average of values
median
puts values in rank order distribution and selects the middle value
mode
number that occurs most frequently in a distribution
normal distribution
Bell-shaped data, median and mean will be about the same
negatively skewed
tail on the left
positively skewed
tail on the right
tail
the skew refers to the — not the bulk of the data
standard deviation
variablility or dispersion of scores around the mean of the sample, square root of the variance
range
difference between the smallest and largest values in data set
independent
the variable hypothesized to explain an observed clinical phenomenon
dependent
shows the effect of manipulating or introducing the independent variable
Null
hypothesis states that there is no difference or relationship between 2 variables
alternate
hypothesis states that there is a difference between variables
p
probability that an observed difference occurred by chance
p<a
reject the null hypothesis
p≥a
fail to reject the null hypothesis
hypothesis
it is a relationship that is being evaluated between an intervention/exposure and an outcome, or between 2 or more variables
equivalence
— study: you are trying to prove that the therapies are equivalent
non-inferiority
— study: you are trying to prove that the new therapy is not inferior
type 1 error
rejecting the H0 when it is true, you are stating that the observed differences may be due to chance, and not due to treatment
type 2 error
failing to reject H0 when it is false, you are stating that the observed differences are not due to chance but due to treatment
alpha
the maximum acceptable level of risk for a type 1 error, α is the probability of observed difference being due to chance/error and not detecting it
beta
the maximum acceptable level of risk for a Type 2 error, β is the probability of making a type 2 error
power
the probability that a test will reject the null hypothesis correctly
90% probability that the conclusion is correct, statistically significant
say you are given an alpha 0.10, a CI of 90% and a p-value ≤ 0.10; what does this mean?
not statistically significant
say you are given an alpha 0.05, a CI of 95% and a p-value > 0.05; what does this mean?
95% probability that the conclusion is correct, statistically significant
say you are given an alpha 0.05, a CI of 95% and a p-value ≤ 0.05; what does this mean?
confidence interval
a given range of values in a study which is likely to contain the true value of an unknown statistical parameter (ex. true population value)
wider
as your confidence level increases the confidence interval becomes —
not
forest plots: if there is a horizontal line that passes the black vertical line it is — statistically significant
0
if the forest plot is showing a difference comparison the black vertical line is at #
1
if the forest plot is a rates comparison the vertical black line is at #