Wald Critical Effect Size

Inputs

Exact critical effect is a forward design quantity. It is not a confidence bound, observed evidence, clinical MCID, or study-specific sample-size calculation.

Effect and precision

Effect measure

Precision input

95% CI lower

95% CI upper

The CI reconstructs current SE under a nominal 95% Wald approximation.

Observed estimate (optional display marker)

In CI mode, a supplied estimate must agree with the CI midpoint within the released Core tolerance. It is never used as “observed power.”

Null value

Detectability rule

Alpha

Target probability

Selected-claim rule

User-defined meaningful effect (optional scenario)

The app evaluates this scenario but does not validate its scientific or clinical importance.

Information multiplier

Scenario SE = current SE / √multiplier. This is not automatically a sample-size multiplier.

Optional display range

Leave both blank for a range that includes the scientific markers. Values are on the natural display scale.

Display minimum

Display maximum

Results

Precision

Rule

Exact critical effect: current

Exact critical effect: scenario

Exact effects for 50%, 80%, and 90% selected-claim probability
Precision	Target	Direction	Critical effect	Standardized delta	Achieved probability

Limitations and interpretation

Calculate to populate the exact critical values, selected-claim probability curve, reference table, and exports.