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Слайды и текст к этой презентации:
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Содержание слайда: Статистическая обработка данных
Prepared by Artur Galimov M.D.
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Содержание слайда: Methods Section
From JAMA (impact factor - 47.661):
In the Methods section, describe statistical methods with enough detail to enable a knowledgeable reader with access to the original data to reproduce the reported results.
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Содержание слайда: Study Designs in Medical Research
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Содержание слайда: Distinguishing Between Study Designs
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Содержание слайда: Common types of experiments
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Содержание слайда: Experiment
Introduce a treatment to observe its effects
Might not involve randomization
Might not even have a control group
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Содержание слайда: Randomized Experiment
The gold standard for demonstrating causality
Units (people, animals, groups, etc.) are randomly assigned to receive either treatment or control.
If the sample is large enough, we can assume that on the average, everything else about the two groups is similar because the two groups were randomly selected.
So any difference between the two groups after the experiment must be due to the treatment.
№8 слайд
Содержание слайда: Quasi-experiment
There is a control group, but no random assignment to treatment vs. control
Usually happens because it’s impossible or unethical to do random assignment
Assignment to conditions occurs by self-selection (some people choose to smoke or exercise or join a program)
Example: effects of a new health media campaign that’s introduced in one community but not others
The main problem is that the groups are different in other ways (people who become smokers have different demographics and genetics)
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Содержание слайда: Natural experiment
(Not exactly an experiment because the experimenter didn’t manipulate the cause, but the cause occurred)
Compare a group that experienced a cause with a group that didn’t
(Or compare the same group before and after the cause)
Examples: effect of a natural disaster, effect of a policy change
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Содержание слайда: Correlational study
Nonexperimental because nothing is manipulated
Measure some variables and see if there’s a mathematical relationship between them
Results can be consistent with causality, but they can’t prove causality
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Содержание слайда: Even randomized experiments aren’t perfect
Experimental conditions are usually artificial
They’re conducted in one particular time and place – might not generalize to other times or places
But we usually want to generalize the findings to other times and places
Cronbach: we usually want to generalize to other UTOS – units, treatments, observations (outcomes), and settings
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Содержание слайда: Populations
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Содержание слайда: Types of Data (Variables)
Categorical
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Содержание слайда: Types of Data (Variables)
Categorical
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Содержание слайда: Histograms
Know how to interpret a histogram, i.e., normal, skewed left (left tail), skewed right (right tail), and most importantly, infer from it the appropriate descriptive statistics and analytical method, e.g., mean vs median, parametric vs. non-parametric
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Содержание слайда: Measures of Central Tendency
Mean: what’s commonly called “average”
Median (m): middle-most observation of ordered data
n odd: m = the (n + 1)/2-th largest observation
n even: m = average of the (n/2)-th and (n/2 + 1)-th largest observations
Mode: most frequently occurring observation(s)
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Содержание слайда: Measures of Variability (Dispersion)
Range: difference between largest and smallest observations (or actual values)
Interquartile range (IQR): the difference between the 25th and 75th percentiles (or actual values)
(Sample) Variance:
(Sample) Standard Deviation (s or sd):
Standard Error of the Mean (se or sem):
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Содержание слайда: SPSS Output
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Содержание слайда: SPSS Output
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Содержание слайда: What is correlation?
Correlation captures the extent to which two variables have a linear relationship.
Correlation coefficients are descriptive statistics that describe the degree or strength of the linear relationship between two variables.
To calculate correlations we need pairs of numbers.
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Содержание слайда: SPSS output
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Содержание слайда: Simple linear regression
Purpose: to model the change in one variable (Y, the “dependent variable”) as the other variable (X, the “independent variable”) changes.
Assumptions
Independence: For any particular value of X, the Y-values are statistically independent of each other.
Homoscedasticity: For any particular value of X, the Y-values have the same variance.
Normality: For any particular value of X, the Y-values have a normal distribution.
№31 слайд
Содержание слайда: Procedure for linear regression
Make a scatterplot of Y vs. X to determine if data are linear and homoscedastic.
If the scatterplot looks reasonable, then assume the simple linear regression model:
where is the intercept, is the slope, and represents individual differences (“errors”) from the true population regression line:
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Содержание слайда: Multilevel Structured Data
Multilevel data frequently encountered in social sciences research refer to data which contain multilevel (hierarchical or nested) structure.
Multilevel structure indicates that data to be analyzed were obtained from units (e.g., individual) which are nested within higher level units (e.g., groups or clusters).
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Содержание слайда: Example of Multilevel Data in Prevention Research
In school-based substance use prevention research, schools are usually the units of assignment to experimental conditions (program or control).
Data are then collected from both student (micro) and school (macro) levels
student (micro) and
school (macro) levels
to evaluate program effect.
№35 слайд
Содержание слайда: Missing Data
Data are missing on some variables for some observations.
Three goals of missing data handling
Minimize bias
Maximize use of available information
Get good estimates of uncertainty (get accurate estimates of standard error, CI, p value)
Not a goal: imputed values “close” to real values
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Содержание слайда: Missing Data: Methods to Deal with Missing
Listwise Deletion: Delete cases with any missing on the variables being analyzed.
Missing replacement by imputation:
Mean replacement:
using variable mean or group mean
will not affect mean, but reduce variance
Regression approach
predicting the missing value on one variable with scores on other variables
Multiple imputation
Sensitivity analysis
complete cases vs. missing replacement
№37 слайд
Содержание слайда: Methods Section Outline
Participants and Procedures
Measures
Data Analysis
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Содержание слайда: Participants and Procedures
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Содержание слайда: Data Analysis
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Содержание слайда: Q/A Session
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Содержание слайда: Arthur Galimov
e-mail: galimov@usc.edu
IG: ar_galimov