Week 1 Day 1 - Mathematics Flashcards
Descriptive statistics
Use to organize, summarize, and present the values
Draws NO consclusions
“The data is the data”
Inferential statistics
Used to draw conclusions about data
Categorical variable
variable with discrete or qualitative value
male/female
liking tofu 1-5 scale
shirt (4 types)
quarantine activity is qualitative, but is infinite, not discrete
Continuous variable
variable that can measured along a continuum
age
temp
height
years as a nurse
nominal
categorical variable
no intrinsic order - shirt, quarantine activity
ordinal
categorical variables
have order - tofu (1,2,3,4,5)
dichotomous
categorical variable
only 2 values - m/f (order doesn’t matter)
interval
continuous variable
numeric value and is measured
i.e. age, temp, height, years as a nurse
ratio
continuous variable
like interval, but value of ‘0’ indicates there is nothing
i.e. age, height, years as a nurse
temp not ratio variable, nothing meaningful or valuable about my favorite temp being 70F and yours 75F
mean
as it relates to variables
advantage: easy to calc
disadvantage: affected by outliers
ratio (height, age): yes
interval (temp): yes
ordinal (tofu): maybe, possible mathematically, but you shouldn’t
nominal (shirt): no
median
as it relates to variables
advantage: outlier insensitive
ratio (age, height): yes
interval (temp): yes
ordinal (tofu): yes
nominal (shirt): no
mode
as it relates to variables
ratio (age, height): yes
interval (temp): yes
ordinal (tofu): yes
nominal (shirt): yes
measures of central tendency
mean, median, mode
measures of variability/spread
describes the manner in which data are scattered around a specific value (such as the mean)
range interquartile range standard deviation standard error of the mean percentile
range
definition + as it relates to variables
highest value to lowest value
ratio (age, heigh)t: yes
interval (temp): yes
ordinal (tofu): yes
nominal (shirt): no
interquartile range
definition + as it relates to variables
refers to the upper and lower boundary defining the middle percent of observations
75th percentile-25th percentile
commonly used- 90th percentile-10th percentile
ratio (age, height): yes
interval (temp): yes
ordinal (tofu): yes
nominal (shirt): no
standard deviation
definition + as it relates to variables
measure of variability
how much people/subject differ from the the average (mean)
ratio (age, height): yes
interval (temp): yes
ordinal (tofu): maybe (we can, but we shouldn’t)
nominal (shirt): no
standard error the of the mean
definition + as it relates to variables
how well does the mean represent the sample
error of the mean gets smaller as the sample gets bigger
describes the amount of variability in the measurement of the population mean from several different samples
ratio (age, height): yes
interval (temp): yes
ordinal (tofu): maybe (we can, but we shouldn’t)
nominal (shirt): no
inferential statistics
trying to reach conclusion that extend beyond the immediate data alone
Null hypothesis
There is no difference
T test
simplest test for difference between 2 groups
the greater the magnitude of “t”, the more likely the groups are different (statistically different)
Reasons research may not be valid
bias
chance
confounders
chance
caused by random variations in subjects and measurements
larger sample size will reduce chance errors
bias
systematic variation
larger sample size WILL NOT help
Types of bias
selection bias
measurement bias
analysis bias
selection bias
biased sampling of population
measurement bias
systematic bias-poor measurement technique
Spanish vs Portuguese men height
analysis bias
using analysis that favors one conclusion over another
“torture the data until you get the conclusion that you want”
confounding
similar to bias
misinterpretation of accurate variables
occurs when an investigator falsely concludes that a particular exposure is causally related to a disease without adjusting for other factors that are known risk factors for the disease and are associated with the exposure.
POEM
Patient Oriented Evidence that Matters
What patient’s really care about: mortality and morbidity
DOE
Disease oriented evidence
The stuff that patients don’t care about, but is related to disease
blood pressure, cholesterol, blood glucose
percentile
percentage of a distribution that is below a specific value
i.e. a child in the 80th percentile for height if only 20% of children of the same age are taller than he is