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Normal Continuity Correction Calculator — result sheet
Apply a half-unit continuity correction to a discrete count boundary and convert it to a normal z score.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: At least k uses k−0.5; at most k uses k+0.5; z=(corrected boundary−mean)/sd.
The half-unit adjustment is applied in the direction of the included discrete outcomes before standardization.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Count boundary — minimum -1000000000; maximum 1000000000
- Normal approximation mean — minimum -1000000000; maximum 1000000000
- Normal approximation standard deviation — minimum 1.0E-6; maximum 1000000000
- Event side — 2 choices
Worked example
| Input | Value |
|---|---|
| Count boundary | 10 |
| Normal approximation mean | 12 |
| Normal approximation standard deviation | 3 |
| Event side | at-least |
Corrected boundary =9.5; z≈−0.8333.
Assumptions and limits
- Boundary is numeric, standard deviation is positive, and the selected side is supported.
- The discrete variable is approximated by a continuous normal distribution.
- Skew, exact tail probability, continuity alternatives, and parameter estimation are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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