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دوره‌ها ماژول‌ها مجموعه‌داده‌ها منابع مدرس

آزمایشگاه داده‌های رسمی

منابع داده عمومی برای مثال‌ها، نمودارها و تمرین‌های R

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درس 14 از 16

General Bayes Updating and Decision Analysis

خانه/ماژول‌ها/ماژول 5/General Bayes Updating and Decision Analysis

Update several possible causes using weighted likelihoods and connect posterior shares to decisions.

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هدف‌های یادگیریتا پایان این درس، دانشجویان می‌توانند:

1Define the events and probability quantities used in general bayes updating and decision analysis.
2Select and calculate an appropriate probability rule with a visible denominator or assumption.
3Interpret the result for a business decision without overstating certainty or causation.

Theory

Core probability reasoning

Update several possible causes using weighted likelihoods and connect posterior shares to decisions.

توضیح 1

Prior categories: Mutually exclusive and exhaustive possible sources.

توضیح 2

Weighted likelihood: Prior share multiplied by evidence likelihood.

توضیح 3

Posterior share: One weighted likelihood divided by their total.

اصطلاحات

Concept map

Prior categories

Mutually exclusive and exhaustive possible sources.

Three suppliers.

Weighted likelihood

Prior share multiplied by evidence likelihood.

Supplier share x alert rate.

Posterior share

One weighted likelihood divided by their total.

Updated supplier probability after an alert.

نمادگذاری و فرمول‌ها

General Bayes update

رابطه اصلی

posterior_i = prior_i x likelihood_i / sum(prior_j x likelihood_j)

Define every event before substituting values, then validate the result and denominator.

گام 1Validate priors sum to one.
گام 2Calculate every weighted likelihood.
گام 3Normalize and verify posteriors sum to one.

فعالیت تعاملی

multi category bayes updater

Category 1 priorEvidence likelihood

Posterior

0.3418

Category 2 priorEvidence likelihood

Posterior

0.3544

Category 3 priorEvidence likelihood

Posterior

0.3038

Prior total: 1. Priors must sum to 1; posterior shares are normalized weighted likelihoods.

مثال حل‌شده

Supplier review

سناریو

Three suppliers have different shares and alert likelihoods.

A posterior supports prioritization but does not prove responsibility.

ارتباط با R

R note: General Bayes Updating

Run and edit the code, inspect intermediate output, and use the movable R Code Guide while practising.

Live R Lab

General Bayes Updating

Update several mutually exclusive source probabilities with one piece of evidence.

Editable R code

Results

Ready to run

Ready to run

Ready to run. Results, errors, tables, plots, and fallback messages will appear here.

Validate prior categories.

Calculate weighted likelihoods.

Normalize posterior shares.

Dataset provenance

Original synthetic data generated for STATLAB Academy. No textbook data used.

Interpretation safeguard

Posterior probabilities depend on both the evidence model and the prior distribution.

بازاندیشی

مکث و یادداشت

Where could an unclear event definition or assumption change the conclusion in general bayes updating and decision analysis?

Name the event, denominator, probability interpretation, and one operational limitation.

دستیار

Ask your probability coach

Help me reason through General Bayes Updating and Decision Analysis by asking questions about my event definitions, denominator, formula choice, assumptions, and interpretation. Do not give a quiz answer before I submit.

ارزیابی پایانی

Lesson checkpoint

Use a hint before submitting if needed. Full calculations and interpretations appear after submission.

Checkpoint

Module 5 Lesson 14 Checkpoint

Question 1 of 2. Answered 0/2. Passing score: 70%.

برای دریافت بازخورد امتیازدهی‌شده و ذخیره پیشرفت، وارد شوید.ورود ساخت حساب

Question 1: Choose one

easyCalculate and responsibly interpret probability for a defined event.

Three prior categories are mutually exclusive and exhaustive. Their prior probabilities must:

All exceed 0.5All be equalMultiply to 1Sum to 1

منبع

Recommended reading

Explore additional probability explanations and exercises from properly licensed or publisher resources.

منبع

Module 5 learning material

Download an original worksheet or guide for this lesson.

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