Work Sampling Calculator

Determine activity percentages and required sample size for work measurement studies

Work Sampling Study

Work sampling is a technique used to estimate the percentage of time spent on various activities without continuous observation.

Sample Size (n) = (Z² × p × (1 - p)) / E²

Where:

  • Z = Z-value for desired confidence level (1.96 for 95%)
  • p = Estimated proportion of time spent on activity
  • E = Desired margin of error (e.g., 0.05 for ±5%)

Study Parameters

Activities

Enter the activities you want to measure and their observed frequencies:

Activity Observed Count Total Observations Percentage Action
75.0%
25.0%

Work Sampling Results

Total Observations

Samples Collected

Required Samples

For Desired Accuracy

Confidence Level

Study Reliability

Margin of Error

± Percentage Points

Activity Breakdown

Activity Count Percentage Confidence Interval Required Samples

Interpretation Guidelines

Sample Size Reliability
< 100 Preliminary estimate only
100 - 500 Fair reliability for most applications
500 - 1000 Good reliability for important decisions
> 1000 High reliability for critical applications

Practical Examples

Example 1: Machine Utilization

Confidence: 95%, Error: ±5%, Working: 75/100, Idle: 25/100

Results: Working 75% (±8.5%), Required samples: 289

Example 2: Office Work

Confidence: 95%, Error: ±3%, Email: 30/100, Meetings: 20/100, Focus Work: 50/100

Results: Focus Work 50% (±4.9%), Required samples: 1067

Example 3: Hospital Nurse

Confidence: 99%, Error: ±2%, Patient Care: 65/100, Documentation: 25/100, Other: 10/100

Results: Patient Care 65% (±3.8%), Required samples: 5417

Work Sampling Methodology

Step Description
1. Define Activities Identify all possible activities to be measured
2. Preliminary Study Conduct 50-100 observations to estimate proportions
3. Calculate Sample Size Determine required observations for desired accuracy
4. Schedule Observations Randomly distribute observations over time
5. Conduct Study Record activities at observation points
6. Analyze Results Calculate percentages and confidence intervals