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Dictionary of Evidence-based Medicine.pdf

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68 <strong>Dictionary</strong> <strong>of</strong> <strong>Evidence</strong>-<strong>based</strong> <strong>Medicine</strong><br />

Generalizability (see External validity)<br />

Generalizability theory<br />

Classic test theory assumes that an observed test score is made up <strong>of</strong> two<br />

components, a true score and an error term. The ratio <strong>of</strong> the true variance<br />

to the composite (true + error) variance is the reliability coefficient.<br />

Generalizability theory proposes that whenever measurements are taken,<br />

there are many sources <strong>of</strong> variance (referred to as facets) contributing error<br />

to the estimates being made. An important objective <strong>of</strong> any estimation<br />

is therefore the identification and measurement <strong>of</strong> those variance components<br />

through appropriate factorial studies. Such studies are referred to<br />

as generalizability or G studies in the literature relating to development <strong>of</strong><br />

measurement scales. Within the framework <strong>of</strong> generalizability theory,<br />

studies are also undertaken to evaluate how decision rules, such as pooling<br />

<strong>of</strong> different raters' scores, influence the reliability <strong>of</strong> the measurements.<br />

Such studies are called decision or D studies (Cronbach LJ, Gleser GC,<br />

Nanda H, Rajaramam N (1972) The dependability <strong>of</strong> behavioral measurement:<br />

theory <strong>of</strong> generalizability for scores. John Wiley, New York).<br />

Generalized linear model<br />

The generalized linear model is a statistical model for analysing the<br />

pattern <strong>of</strong> association and interactions between variables which takes the<br />

form:<br />

Where g(y] is a function <strong>of</strong> the dependent variable TJ, the beta values are the<br />

coefficients for the k predictor (x) variables. All generalized linear models<br />

include three components: (i) the random component which identifies the<br />

response variable; (ii) a systematic component which specifies the explanatory<br />

or predictor variables; (iii) a link which describes the functional<br />

relationship between the systematic component and the expected values <strong>of</strong><br />

the random component.<br />

Generalized linear models include ordinary regression analysis and analysis<br />

<strong>of</strong> variance as well as more complex models such as logistic regression<br />

models and log linear models.

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