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An overview of internal validity, threats to internal validity, and their implications for causality in research. Topics covered include construct validity, statistical validity, Type I and II errors, threats such as history, maturation, experimental mortality, instrumentation, testing, interactions with selection, Simpson's paradox, and Fishnet. The document also introduces Bayesian networks as a tool for understanding causality and making inferences.
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Construct validity refers to the degree to which inferences can legitimately be made from your study to the theoretical constructs on which those operationalizations were based. Internal Validity is the approximate truth about inferences regarding cause-effect or causal relationships. External Validity: Assuming that there is a causal relationship in this study between the constructs of the cause and the effect, can we generalize this effect to other persons, places or times?
Statistical validity has to do with basing conclusions on proper use of statistics.
H0 (null hypothesis) true H1 (alternative hypothesis) false H0 (null hypothesis) false H1 (alternative hypothesis) True 1 - I (e.g., .95) THE CONFIDENCE LEVEL The probability we say there is no relationship when there is not I (e.g., .05) Type I Error The probability we say there is a relationship when there is not 1 - J (e.g., 80) THE POWER The probability we say there is a relationship when there is one We accept H We reject H We reject H We accept H In Reality We Conclude J (e.g., 20) Type II Error The probability we say there is no relationship when there is one
Dropouts from the experiment; especially when the dropouts systematically bias the comparisons Example: If your include pretest subsequent dropouts in the pretest and not in the posttest you will bias the test based on the characteristics of dropouts. And, you won't necessarily solve this problem by comparing pre-post averages for only those who stayed in the study. This subsample would certainly not be representative even of the original entire sample
The highest and lowest scorers will regress toward the mean at a higher rate than those who scored close to the mean. There will be a higher degree of regression for unreliable measures than for more reliable ones.
When there is a relationship between the treatment and the selection of subjects, this causes a systematic bias which affects causal inference Example: A selection threat is any factor other than the program that leads to posttest differences between groups. These include: history, maturation, test, instrumentation, mortality, and regression.
Any statistical relationship between two variables may be reversed by including additional factors in the analysis.