MATH 236 • Tüm Sınavlar • Engineering Statistics
Bu dersimize Random Sampling ile başlıyor ve Uygulamalı İstatistik'in temellerini atıyoruz.
Sonrasında her bir Sampling Distribution için kullanım alanları, tablo okumaları ve örnek üzerinde uygulamalarını görüyoruz. Bu dersin içeriğinde bulunan konular ise şu şekilde: 1) Descriptive Statistics and Random Sampling 2) Z Distribution 3) Chi-Square Distribution 4) T Distribution 5) F Distribution 6) Point Estimation 7) Confidence Interval for Single Sample 8) Hypothesis Testing for Single Sample
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Eğitmenler
Ömer Faruk Altun
Co-founder & Head of Education
2011 yılında Endüstri Mühendisliği okumak için başladığım Sabancı Üniversitesi'nden 2018 yılında Bilgisayar Mühendisi olarak mezun oldum. 13 yıldır Altun ismiyle başta Sabancı Üniversitesi olmak üzere çeşitli okullarda Endüstri ve Bilgisayar Mühendisliği alanlarında ders vermekteyim. Unicourse'ta sunduğum derslerin yanında eğitim departmanının da sorumluluğunu üstlenmekteyim.
İhsan Altundağ
Eğitmen
2007 yılında Galatasaray Üniversitesi Bilgisayar Mühendisliği bölümünden birincilikle mezun olduktan sonra Fransa'da Kriptoloji üzerine Fransa hükümeti tarafından verilen bursla yüksek lisans yaptım. Devamında ikinci kez sınava girerek Boğaziçi Matematik bölümünü de bitirdim. Yaklaşık 15 yıldır üniversite öğrencilerine dersler vermekteyim.
Konular
Descriptive Statistics
12 konu anlatımı
Introduction
Frequency Distribution
Example 1
Relative Frequency Distribution
Example 2
Cumulative Frequency Distribution
Example 3
Frequency Histogram
Measures of Central Tendancy
Example 4
Measures of Dispersion
Example 5
Probability Review (NEW)
10 konu anlatımı
Counting and Probability
Conditional Probability and Independence
Bayes' Rule
Discrete Random Variables
Continuous Random Variables
Expected Value and Variance
Bernoulli and Binomial Distributions
Continuous Uniform Distribution
Exponential Distribution
Normal Distribution
Sampling Distributions: Part 1
11 konu anlatımı
Sample Mean
Sample Variance
Example 1
Central Limit Theorem
Example 2
Example 3
Example 4
Example 5
Example 6
Normal Approximation to Binomial Distribution
Normal Approximation to Poisson Distribution
Sampling Distributions: Part 2
16 konu anlatımı · 2 soru
Reading Z Table - Option 1
Reading Z Table - Option 2
Reading T Table
Reading Chi Table
Reading F Table
Z Distribution
Example 1
Exam Like Question 1
Chi Square Distribution
Example 2
T Distribution
Example 3
Example 4
Exam Like Question 2
F Distribution
Example 5
Example 6
Chapter Summary
Sample Midterm Problems I
24 soru
Z Distribution 1
Z Distribution 2
Z Distribution 3
Z Distribution 4
Z Distribution 5
Z Distribution 6
Z Distribution 7
Z Distribution 8
Z Distribution 9
Z Distribution 10
Normal Approximation to Binomial Distribution 1
Normal Approximation to Binomial Distribution 2
Normal Approximation to Binomial Distribution 3
T Distribution 1
T Distribution 2
T Distribution 3
Chi Square Distribution 1
Chi Square Distribution 2
Chi Square Distribution 3
Chi Square Distribution 4
F Distribution 1
F Distribution 2
All Distributions 1
All Distributions 2
Point Estimation
4 konu anlatımı · 2 soru
Introduction
Unbiased Estimators 1
Unbiased Estimators 2
Exam like Question 1
Exam like Question 2
Efficient Estimators
Confidence Interval - One Population
16 konu anlatımı
Introduction
Table Values
Confidence Interval for Means(Sigma known)
Example 1
Example 2
Example 3
Confidence Interval for Means (sigma unknown)
Example 1
Example 2
Confidence Interval for Proportions
Example 1
Example 2
Confidence Interval for Variance
Example 1
Example 2
Example 3
Confidence Interval - Two Populations
13 konu anlatımı
Confidence Interval For Difference Between Means (sigma known)
Example 1
Example 2
Example 3
Confidence Interval For Difference Between Means (sigma unknown)
Example 1
Example 2
Confidence Interval for Difference Between Proportions
Example 1
Example 2
Confidence Interval for Ratio of Variances
Example
Chapter Summary
Prediction and Tolerance Interval for Means
8 konu anlatımı
Prediction Interval for Means
Example 1
Example 2
Example 3
Tolerance Intervals for Means
Example 4
Example 5
Example 6
Sample Midterm Problems II
27 soru
Unbiased Estimators 1
Unbiased Estimators 2
Efficient Estimators 1
Efficient Estimators 2
C.I. of Mean (Known Variance) 1
C.I. of Mean (Known Variance) 2
C.I. of Mean (Known Variance) 3
C.I. of Mean (Unknown Variance) 1
C.I. of Mean (Unknown Variance) 2
C.I. of Mean (Unknown Variance) 3
C.I. of Proportion 1
C.I. of Proportion 2
C.I. of Variance 1
C.I. of Variance 2
C.I. of Variance 3
C.I. of Difference of Means (Known Variances) 1
C.I. of Difference of Means (Known Variances) 2
C.I. of Difference of Means (Unknown Variances) 1
C.I. of Difference of Means (Unknown Variances) 2
C.I. of Difference of Means (Unknown Variances) 3
C.I. of Difference Between Proportions 1
C.I. of Differences Between Proportions 2
C.I. of Proportion of Variances 1
Prediction Interval for Means 1
Prediction Interval for Means 2
Tolerance Interval for Means 1
Tolerance Interval for Means 2
Hypothesis Testing: Basics
5 konu anlatımı
Introduction
Terminology
Example 1
Example 2
Example 3
Hypothesis Testing - One Population
11 konu anlatımı
Introduction
Tests for Mean
Example 1
Example 2
Example 3
Tests for Proportion
Example 5
Example 6
Tests for Variances
Example 7
Example 8
Hypothesis Testing - Two Populations
10 konu anlatımı · 2 soru
Tests for Difference Between Means
Example 1
Example 2
Example 3
Example 4
Exam like Question 1
Tests for Ratio of Two Variances
Example 5
Example 6
Exam like Question 2
Tests Among k Proportions
Example 7
Sample Final Problems I
24 soru
Hypothesis Testing Basics 1
Hypothesis Testing Basics 2
Hypothesis Testing Basics 3
Testing for the Mean 1
Testing for the Mean 2
Testing for the Mean 3
Testing for the Mean 4
Testing for the Mean 5
Testing for the Mean 6
Testing for the Mean 7
Testing for the Mean 8
Testing for the Mean 9
Testing for the Mean 10
Testing for Proportions 1
Testing for Proportions 2
Testing for Variance 1
Testing for Variance 2
Testing for Difference Between Means 1 (Sigma known)
Testing for Difference Between Means 2 (Sigma known)
Testing for Difference Between Means 3 (Sigma known)
Testing for Difference Between Means 4 (Sigma known)
Testing for Difference Between Means 5 (Sigma unknown)
Testing for Ratio of Two Variances 1
Testing for Ratio of Two Variances 2
Regression Analysis: Part 1
7 konu anlatımı · 2 soru
Regression Equations
Example 1
Example 2
Linear Regression
Example 3
Example 4
Exam Like Question 1
Exam Like Question 2
Example 5
Regression Analysis: Part 2
7 konu anlatımı · 1 soru
Errors in SLR
Example 1
Some Important Formulas
Slope Paremeter
Test for Slope Parameter
Confidence Interval for Slope Parameter
Example 2
Exam Like Question 1
Sample Final Problems II
9 soru
Simple Linear Regression 1
Simple Linear Regression 2
Simple Linear Regression 3
Simple Linear Regression 4
Simple Linear Regression 5
Simple Linear Regression 6
Simple Linear Regression 7
Simple Linear Regression 8
Simple Linear Regression 9