توضیح 1
Marginal: A row or column total divided by the grand total.
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درس 10 از 16
Turn a frequency table into validated marginal, joint, and conditional probabilities.
Theory
Turn a frequency table into validated marginal, joint, and conditional probabilities.
توضیح 1
Marginal: A row or column total divided by the grand total.
توضیح 2
Joint: One interior cell divided by the grand total.
توضیح 3
Conditional: One cell divided by its conditioned row or column total.
اصطلاحات
A row or column total divided by the grand total.
All volunteers over all alumni.
One interior cell divided by the grand total.
Degree and volunteer.
One cell divided by its conditioned row or column total.
Volunteer given Degree.
نمادگذاری و فرمولها
joint = cell / grand total; conditional = cell / conditioned total
Define every event before substituting values, then validate the result and denominator.
فعالیت تعاملی
| Row total: 50 | ||
|---|---|---|
| Row total: 50 | ||
| Grand total: 100 | ||
Cell (1,1) joint
0.32
32 / 100
First-row marginal
0.5
50 / 100
Column 1 given row 1
0.64
32 / highlighted row total 50
مثال حلشده
سناریو
An educator cross-tabulates program type and volunteer status.
Every table percentage needs an explicit denominator.
ارتباط با R
Run and edit the code, inspect intermediate output, and use the movable R Code Guide while practising.
Live R Lab
Calculate marginal, joint, row-conditional, and column-conditional probabilities from counts.
Ready to run
Dataset provenance
Original synthetic data generated for STATLAB Academy. No textbook data used.
Interpretation safeguard
A conditional percentage must use the total of the conditioned row or column, not the grand total.
بازاندیشی
Name the event, denominator, probability interpretation, and one operational limitation.
دستیار
Help me reason through Marginal, Joint, and Conditional Probabilities in Contingency Tables by asking questions about my event definitions, denominator, formula choice, assumptions, and interpretation. Do not give a quiz answer before I submit.
ارزیابی پایانی
منبع
Explore additional probability explanations and exercises from properly licensed or publisher resources.
دریافتمنبع
Download an original worksheet or guide for this lesson.
دریافت