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Statistics | Class 13
Pakistan (E-CAT, M-CAT etc...)
Class 13
Statistics (
Total Videos: 691
)
Preference
All Chapters
Chapter 1: Presentation of Data
Chapter 2: Measures of Central tendency or Averages
Chapter 3: Measures of Dispersion, Moments and Skewness
Chapter 4: Index Numbers
Chapter 5: Probability
Chapter 6: Random Variables
Chapter 7: Discrete probability Distributions
Chapter 8: Continuous probability Distributions
Chapter 9: Method of Least Squares and Curve Fitting
Chapter 10: Simple Regression and Correlation
Chapter 11: Multiple Regression and Correlation
Chapter 12: Analysis of Time Series
Chapter 13: Sampling and Sampling Distribution
Chapter 14: Statistical Inference:Estimation
Chapter 15: Statistical Inference:Hypothesis Testing
Chapter 16: The Student's t Distribution
Chapter 17: The Chi-Square Distribution
Chapter 18: The F Distribution
Chapter 19: Analysis of Variance(ANOVA)
Chapter 20: Experimental Designs
Chapter 21: Statistical Inference in Regression and Correlation
Show Content
Select a chapter above and press 'Show Content'. Click a video topic below to view.
Chapter 1 Presentation of Data (
41 videos
)
  (
Practice Test
)
1.1: Exploring and Interpreting Data (
Practice Test
)
Data
6716 views
Exploring Data
2987 views
Interpretation of Data
2259 views
Introducing Parameters and Statistic
2256 views
Basic Terminologies in Statistics ( Data, Population, Sample, Frequency, Class Interval)
1746 views
Accuracy of Measurements & Errors
1356 views
Biasness Vs Unbiasness in Data
197 views
Types of Data
1624 views
Types of Data By Source
387 views
1.2: Frequency Distribution (
Practice Test
)
Frequency Distribution
13271 views
Problem-Frequency Distribution
5188 views
1.3: Measurement Scales (
Practice Test
)
Scales
239 views
Ordinal Vs Nominal Data
1109 views
Nominal Scale Vs Ordinal Scale
421 views
Interval Scale Vs Ratio Scale
1661 views
1.4: Charts/Diagrams (
Practice Test
)
Charts/Diagrams
605 views
Graphical Representation of Data-Horizontal/Vertical Bar Graph
971 views
Graphical Representation & Interpretation of Data-Multiple Bar Graph
534 views
Component Bar Chart
3021 views
Percentage Component Bar Chart
1417 views
Composite Bar Chart
797 views
Graphical Representation & Interpretation of Data- Pie Graph
415 views
Profit and Loss Chart
831 views
Pictograms
910 views
1.5: Graphs (
Practice Test
)
Graphs
353 views
Interpretation of Data Through Graphs
303 views
Creating a Histogram
150 views
Problem-Introducing and Constructing Histogram
2156 views
Frequency Polygon
174 views
Cumulative Frequency Polygon
2273 views
Graphical Representation & Interpretation of Data-Dot Graph
267 views
Representation and Interpretation of Data through Stem and Leaf
153 views
Graphical Representation & Interpretation of Data- Line Graph
250 views
Graph of Time Series
384 views
Difference Between Histogram and Histogram
1809 views
1.6: Types of Frequency Curves (
Practice Test
)
Frequency Curves
4819 views
Common Shapes of Frequency Curves
439 views
Positively Skewed Frequency Curves
340 views
Negatively Skewed Frequency Curves
259 views
J-Shaped and Reverse J-Shaped Frequency Curves
279 views
Bimodal and Multi-modal Frequency Curves
340 views
Chapter 2 Measures of Central tendency or Averages (
49 videos
)
  (
Practice Test
)
2.1: Measuring Averages (
Practice Test
)
Average
1182 views
Applications of Different Averages
857 views
2.2: Arithematic Mean (
Practice Test
)
Arithmetic Mean of Ungrouped Data
1050 views
Problem-Arithmetic Mean of Raw Data-Direct Method
2575 views
Arithmetic Mean of Grouped Data by Direct Method
637 views
Problem-Arithmetic Mean for Grouped Data-Direct Method
1833 views
Arithmetic Mean of Ungrouped Data using Short-cut Method
702 views
Problem-Arithmetic Mean for Raw Data-Short Formula
1339 views
Arithmetic Mean of Grouped Data using Short-cut Method
822 views
Problem-Arithmetic Mean for Grouped Data-Short Formula
1098 views
Arithmetic Mean of Ungrouped Data using Coding Method
504 views
Problem-Finding A.M for Ungrouped Data-Coding Method
1304 views
Finding A.M for Grouped Data-Coding Method
4957 views
Problem-Finding A.M for Grouped Data-Coding Method
1123 views
2.3: Weighted/Combined Mean (
Practice Test
)
Combined Arithmetic Mean
1138 views
Applications of Weighted Averages
336 views
Introducing Weighted Average
297 views
Problem - Weighted Average for Ungrouped Data
472 views
Where to Use Arithmetic Mean
323 views
Properties of Arithmetic Mean
3184 views
More on Properties of Arithmetic Mean
962 views
2.4: Median and Quantiles (
Practice Test
)
Median for Ungrouped Data
4878 views
Median of Grouped Data
1438 views
Quartiles for Individual Observations
678 views
More on Quartiles for Individual Observations
307 views
How to Identify Outliers in Data Set
121 views
Problem-Quartiles for Individual Observations
283 views
Quartiles for a Frequency Distribution
579 views
Problem-Quartiles for a Frequency Distribution
105 views
Estimating Quartiles for Grouped Data using Graph
562 views
Quantiles from Discrete Data
1042 views
More on Quantiles from Discrete Data
188 views
Quartiles From Grouped Data
4104 views
More on Quartiles From Grouped Data
1238 views
Deciles and Percentiles from Grouped Data
1564 views
More on Deciles and Percentiles from Grouped Data
296 views
Problem - Deciles and Percentiles from Grouped Data
1089 views
Problem - Deciles and Percentiles from Grouped Data
406 views
Graphic Location of Median and Partition Values
531 views
2.5: Mode
The Mode
324 views
2.6: Geometric and Harmonic Means (
Practice Test
)
Geometric Mean of Ungrouped Data
2197 views
Geometric Mean for Grouped Data
2361 views
Harmonic Mean for Ungrouped Data
4409 views
Harmonic Mean for Grouped Data
6002 views
Where to Use Harmonic Mean
902 views
Where to Use Geometric Mean
362 views
Change in Origin and Scale
1313 views
Empirical Relationship Between Mean, Median and Mode
2668 views
Relationship Between Arithmetic, Geometric and Harmonic mean
322 views
Chapter 3 Measures of Dispersion, Moments and Skewness (
78 videos
)
  (
Practice Test
)
3.1: Dispersion (
Practice Test
)
Applications of Dispersion
1071 views
Dispersion
978 views
3.2: Measures of Dispersion (
Practice Test
)
Range of Ungrouped Data
758 views
Problem-Calculation of Range for Ungrouped Data
869 views
Calculation of Range for Grouped Data
4332 views
Problem-Calculation of Range for Grouped Data
562 views
Mean Deviation of Ungrouped Data
2060 views
Problem-Mean Deviation for Ungrouped Data by Mean
445 views
Problem-Mean Deviation for Ungrouped Data by Median
278 views
Mean Deviation of Ungrouped Data from Mode
185 views
Problem-Mean Deviation for Ungrouped Data by Mode
223 views
Mean Deviation of Grouped Data from Mean
353 views
Problem-Mean Deviation for Grouped Data by Mean
240 views
Mean Deviation of Grouped Data from Median
974 views
Problem-Mean Deviation for Grouped Data by Median
185 views
Calculate the Mean Deviation from the following Group Data according to Mode
1457 views
Problem-Mean Deviation for Grouped Data by Mode
164 views
Interquartile Range for Data Set Represented in Different Ways
235 views
More on Interquartile Range for Data Set Represented in Different Ways
161 views
Making and Interpretation of Box-Whisker Plot
49 views
More on Making and Interpretation of Box-Whisker Plot
66 views
Problem- Making and Interpretation of Box-Whisker Plot
62 views
More on Prob -Making and Interpretation of Box-Whisker Plot
47 views
Consistency Test for Data
710 views
Situations Where We Use Range or Semi-IQR
84 views
Situations Where We Use Mean or Standard Deviation
87 views
Variance and Standard Deviation
424 views
Problem-Introduction to Variance and S.D
956 views
Variance and Standard Deviation of Ungrouped Data
5401 views
Calculation of the Variance and Standard Deviation by Direct Method
1112 views
Variance and Standard Deviation of Ungrouped Data by Short Method
203 views
Variance and Standard Deviation of Ungrouped Data by Short-cut Method
155 views
Variance and Standard Deviation of Grouped Data
3711 views
Variance and Standard Deviation of Grouped Data by Short Method
240 views
Variance and Standard Deviation of Grouped Data by Short-cut Method
451 views
Variance and Standard Deviation of Grouped Data by Coding Method
435 views
Effect of Change of Origin and Scale on S.D
2533 views
Properties of Variance and Standard Deviation
1095 views
More on Properties of Variance and Standard Deviation
100 views
More on Properties of Variance and Standard Deviation
437 views
3.3: Coefficient of Dispersion (
Practice Test
)
Absolute and Relative Dispersion
4021 views
Concept of Quartile Deviation
3783 views
Problem-Concept of Quartile Deviation
509 views
Coefficient of Dispersion and Its Measure
385 views
Range Coefficient of Dispersion and its measure
551 views
Problem-Range Coefficient of Dispersion and its measure
193 views
Coefficient of Variation and its Measure
142 views
More on Problem-Coefficient of Dispersion and Its Measure
108 views
Quartile Coefficient of Relative Dispersion and its Measure
156 views
Quartile Coefficient of Relative Dispersion and its Measure
206 views
Mean Coefficient of Dispersion
125 views
Standardized Variable or Z-score
468 views
More on Standardized Variable
141 views
Characteristics of Measures of Quartile Deviation
97 views
3.4: Combined Variance
Introduction to Combined Mean and Variance
1078 views
Prob-Introduction to Combined Variance
285 views
3.5: Trimmed and Winsorized Measures
Trimmed and Winsorized Measures
1366 views
3.6: Moments (
Practice Test
)
Introducing Moments
428 views
Introducing Moments
1242 views
More on Introducing Moments
231 views
Problem-Introducing Moments
378 views
More on Problem-Introducing Moments
240 views
Problem-Moments for group data
3834 views
Problem-Moments for group data
1204 views
Problem-Relation Between the Mean Moments and the Raw Moments
191 views
More on Problem-Relation Between the Mean Moments and the Raw Moments
250 views
Sheppard's Corrections for Grouping Error
3425 views
Problem-Sheppard's Corrections for Grouping Error
721 views
3.7: Skewed vs Unskewed Curves (
Practice Test
)
Introducing Skewness
446 views
Skewed Vs Unskewed Curves
202 views
More on Skewed Vs Unskewed Curves
144 views
Measures of Skewness
4497 views
More on Measures of Skewness
477 views
Problem-Measures of Skewness
1029 views
3.8: Kurtosis (
Practice Test
)
Kurtosis and Its Measurements
513 views
More on Kurtosis and Its Measurements
178 views
Problem-Measures of Kurtosis
5724 views
More on Problem-Measures of Kurtosis
1102 views
Chapter 4 Index Numbers (
33 videos
)
  (
Practice Test
)
4.1: Introduction to Index Numbers (
Practice Test
)
Index Number
3495 views
Applications of Index Numbers
951 views
Death Rates and Birth Rates
9753 views
4.2: Construct Price Index Numbers (
Practice Test
)
Calculating Index Number By Fixed Base Method
4243 views
More on Calculating Index Number By Fixed Base Method
958 views
Calculating Index Number By Chain Base Method
11237 views
4.3: Unweighted and Weighted Price Index Numbers (
Practice Test
)
Calculation of Unweighted Index Number by Simple Aggregative Method
3838 views
Problem-Unweighted Index Number by Simple Aggregative Method
700 views
Calculation of Unweighted Index Number by Simple Average Method
1305 views
Problem-Unweighted Index Number by Simple Average Method
1055 views
Calculation of Unweighted Index Number by Average of Relative Method
1879 views
Weighted Aggregative Price Index Numbers By Laspeyres Method
2143 views
Weighted Aggregative Price Index Numbers By Paasches Method
1073 views
Weighted Aggregative Price Index Numbers By Marshall Edgeworth Method
1413 views
Weighted Aggregative Price Index Numbers By Fishers Method
724 views
Weighted Aggregative Price Index Numbers By Walsh Method
323 views
Problem-Weighted Aggregative Price Index Numbers
203 views
More on Problem-Weighted Aggregative Price Index Numbers
74 views
Weighted Average of Relatives Price Index Numbers
2420 views
4.4: Quantity Index Numbers
Quantity Index Number
953 views
Problem - Simple Aggregative Quantity Index Number
316 views
Problem - Weighted Aggregative Quantity Index Number
115 views
Problem - Simple Average of Relatives Quantity Index
388 views
Problem - Weighted Average of Relatives Quantity Index
233 views
4.5: Value Index
Value Index Number
931 views
4.6: Theoretical Tests of Index Number (
Practice Test
)
Tests of Index Number
181 views
More on Tests of Index Number
36 views
Problem - Time Reversal Test
712 views
Problem - Factor Reversal Test
1550 views
4.7: Consumer Price Index Numbers (
Practice Test
)
Consumer Price Index Numbers
465 views
Consumer Price Vs Wholesale Price Index Numbers
472 views
Problem - Consumer Price Vs Wholesale Price Index Numbers
226 views
Sensitive Price Index (SPI)
418 views
Chapter 5 Probability (
64 videos
)
  (
Practice Test
)
5.1: Set Theory
Sets
145 views
Types of Set
104 views
Subsets
368 views
Basic Operations of Sets
189 views
Venn Diagram
73 views
5.2: Algebra of Sets
Commutative Law of Sets
92 views
Associative Laws
41 views
Idempotent Laws of Sets
116 views
Identity Laws of Sets
108 views
Complementation Law
46 views
Law of Double Complementation
140 views
Law of Empty Set and Universal Set
206 views
Distributive Laws
88 views
5.3: Counting Techniques (
Practice Test
)
A Basic Counting Procedure
263 views
Introducing Factorials
263 views
Problem- Introducing Factorials
234 views
Introducing Permutations
314 views
Problem- Introducing Permutations (Distinct Objects)
168 views
Permutations When the Objects are Not Distinct
333 views
Introduction to Combinations
3175 views
Problem1-Introducing Combinations
179 views
5.4: Basic Probability (
Practice Test
)
Introducing Probability
2152 views
Random Experiment
372 views
Sample Space
287 views
Basic Terminologies used in Probability
1460 views
Types of Events
925 views
Probability for Multiple Event
705 views
Problem - Probability for Multiple Event
585 views
Mutually Vs Non-Mutually Exclusive Events
804 views
Problem - Mutually Vs Non-Mutually Exclusive Events
464 views
Equally Likely Vs Exhaustive Events
775 views
Conditional Probability
3215 views
Properties of Probability
724 views
5.5: Addition Law for Probability (
Practice Test
)
Addition Law of Probability
825 views
More on Applications of Addition of Probabilities
261 views
Addition Laws of Probability
817 views
Problem-Addition Laws of Probability
295 views
Addition of Probabilities of Overlapping Events by Venn Diagram
236 views
Problem-Addition of Probabilities of Overlapping Events by Venn Diagram
192 views
Addition of Probabilities of Disjoint Events by Venn Diagram
186 views
Addition of Probabilities of Subset Events
173 views
5.6: Multiplication Law for Probability (
Practice Test
)
Multiplication Law of Probability
850 views
Application of Multiplication Laws of Probabilities
307 views
More on Application of Multiplication Laws of Probabilities
203 views
Multiplication of Probabilities of Dependent Events
284 views
Problem- Multiplication of Probabilities of Dependent Events
192 views
Multiplication of Probabilities of Independent Events
192 views
Problem-Multiplication of Probabilities of Independent Events
175 views
Intuition Behind Multiplication of Probabilities
61 views
Problem-Intuition Behind Multiplication of Probabilities
56 views
Problem - Probability of Repeated Independent Events
116 views
5.7: Conditional Probability (
Practice Test
)
Conditional Probability
521 views
Application of Conditional Probability
452 views
Conditional Probability By Sample and Reduced Sample Space Approach
361 views
Prob-Conditional Probability By Sample and Reduced Sample Space Approach
295 views
Dependent Vs Independent Events
134 views
Independence of Two Events
65 views
Problem - Independence of Two Events
67 views
Independence of Several Events
62 views
Independence and Conditional Probability
110 views
5.8: Bayes Theorem (
Practice Test
)
Bayes Theorem
130 views
Problem - Bayes Theorem
119 views
Bayes Theorem and the Law of Total Probability for Random Variables
220 views
Prior and Posterior Probabilities
4904 views
Chapter 6 Random Variables (
79 videos
)
  (
Practice Test
)
6.1: Random Variables (
Practice Test
)
Random Variable
644 views
Discrete and Continuous Random Variable
426 views
6.2: The Cummulative Distribution Function (
Practice Test
)
The Cumulative Distribution Function
128 views
Determining Probabilities From Distribution Function
97 views
Problem - The Cumulative Distribution Function
1191 views
Cumulative Distribution and Probability Mass Function
177 views
6.3: Discrete Probability Distribution (
Practice Test
)
Introducing Probability Distribution
381 views
Probability Mass Function
482 views
Probability Distribution of Discrete Random Variable
586 views
More on Probability Distribution of Discrete Random Variable
308 views
Problem - Probability Distribution of Discrete Random Variable
361 views
Cumulative Distribution and Probability Mass Function
177 views
6.4: Continuous Probability Distribution (
Practice Test
)
The Probability Density Function
157 views
More on Probability Density Function
99 views
Problem - The Probability Density Function
110 views
The PDF of Continuous Distribution
287 views
More on The PDF of Continuous Distribution
176 views
Finding Area Under the Curve with Trapezoidal Rule
173 views
More on Finding Area Under the Curve with Trapezoidal Rule
129 views
Probability Density Function using Integration Method
82 views
Problem-Probability Density Function using Integration Method
48 views
More on Problem-Probability Density Function using Integration Method
55 views
Cumulative Distribution and Probability Density Function
45 views
Problem-Cumulative Distribution and Probability Density Function
45 views
6.5: Joint Distribution (
Practice Test
)
Joint Probability Distribution of Two Random Variables
833 views
Discrete Joint Distributions
124 views
More on Discrete Joint Distributions
89 views
Problem - Discrete Joint Distributions
76 views
Continuous Joint Distribution of Two Random Variables
330 views
Problem-Continuous Joint Distribution of Two Random Variables
80 views
Marginal Probability
709 views
Marginal Probability Density Function of Two Continuous Random Variables
334 views
Independence of Joint Distribution of Two Discrete Variables
27 views
Independence of Joint Random Variables of Two Continuous Variables
31 views
Discrete Conditional Distributions
76 views
Problem - Discrete Conditional Distributions
44 views
More on Problem - Discrete Conditional Distributions
41 views
Continuous Conditional Distributions
21 views
Problem - Continuous Conditional Distributions
43 views
6.6: Mathematical Expectation (
Practice Test
)
Expectation
167 views
Applications of Expectation
210 views
The Expected Value of Random Variable
284 views
Use of Expected Value in Decision Making
231 views
More on Use of Expected Value in Decision Making
136 views
How Probability Helps Expectations
138 views
The Expectation of a Discrete Distribution
126 views
Problem1-The Expectation of a Discrete Distribution
114 views
Problem2-The Expectation of a Discrete Distribution
104 views
More on Problem2-The Expectation of a Discrete Distribution
96 views
The Expectation of a Function
54 views
Laws of Expectation
260 views
More on Laws of Expectation
105 views
Addition and Subtraction Laws of Expectation
141 views
Multiplication Law of Expectation
200 views
Problem-Laws of Expectation
125 views
6.7: properties of Variances (
Practice Test
)
Properties of Variance1
167 views
Properties of Variance2
106 views
Properties of Variance3
93 views
Properties of Variance4
89 views
Problem-Properties of Variance
115 views
More on Problem-Properties of Variance
142 views
6.8: Sum or Differences of Variances of Random Variables (
Practice Test
)
Variance of the Sum or Difference of Two Random Variables1
110 views
Variance of the Sum or Difference of Two Random Variables2
83 views
Variance of the Sum or Difference of Two Random Variables3
93 views
Variance of the Sum or Difference of Two Random Variables4
87 views
Problem-Variance of the Sum or Difference of Two Random Variables
93 views
6.9: The Median and Mode of Random Variables (
Practice Test
)
The Median and Mode of Discrete Distribution
173 views
The Median of Continuous Distribution
282 views
The Mode of Continuous Distribution
160 views
6.10: Chebyshev's Inequality
Chebyshev's Inequality
4378 views
6.11: Covariance of Random Variables (
Practice Test
)
Correlation
1125 views
Covariance of Two Random Variables
511 views
Problem - Covariance of Two Random Variables
160 views
6.12: Conditional Expectation (
Practice Test
)
Conditional Expectation
68 views
Utility Functions
40 views
6.13: Moment Generating Function
Moment Generating Function
373 views
Moment Generating Function-Formula Extension
52 views
Properties of the Moment Generating Function
677 views
Problem - Moment Generating Function
76 views
Chapter 7 Discrete probability Distributions (
72 videos
)
  (
Practice Test
)
7.1: The Bernoulli and Binomial Distributions (
Practice Test
)
The Bernoulli Distribution
590 views
Properties of Bernoulli Distribution
242 views
The Binomial Distribution
952 views
More on Binomial Distribution
444 views
Visualizing Binomial Distribution
341 views
Probability of Binomial Distribution - Example
541 views
Probability of Binomial Distribution - Example
89 views
Binomial Distribution for All Possible Value of Random Variable
297 views
More on Binomial Distribution for All Possible Value of Random Variable
213 views
Problem- Probability of Binomial Distribution
343 views
Mean of Binomial Distribution
708 views
Variance of Binomial Distribution
1144 views
Problem-Mean and Variance of Binomial Distribution
39 views
Moments About Origin of Binomial Distribution
1317 views
Second Moment About Origin of Binomial Distribution
828 views
Third Moment About Origin of Binomial Distribution
1775 views
Fourth Moment About Origin of Binomial Distribution
748 views
Moment About Mean of Binomial Distribution
573 views
More on Moment About Mean of Binomial Distribution
608 views
Problem-Moments About Mean of Binomial Distribution
105 views
Moment Co-efficient of Skewness and Kurtosis
464 views
Problem-Moment Co-efficient of Skewness and Kurtosis of Binomial Distribution
705 views
Binomial Frequency Distribution
534 views
Recurrence Formula of the Binomial Distribution
140 views
Problem-Recurrence Formula of the Binomial Distribution
195 views
More on Problem-Recurrence Formula of the Binomial Distribution
96 views
Fitting a Binomial Distribution to Observed Data
1258 views
Moment Generating Function of Binomial Distribution
2357 views
7.2: The Hypergeometric Distribution (
Practice Test
)
Introducing Hypergeometric Distribution
4410 views
More on Hypergeometric Distribution
1955 views
Mean of Hypergeometric Distribution
3007 views
Problem-Mean of Hypergeometric Distribution
75 views
Variance of Hypergeometric Distribution
1988 views
Problem-Variance of Hypergeometric Distribution
92 views
Hypergeometric Distribution in Case of Large N
95 views
7.3: The poisson Distribution (
Practice Test
)
Introducing Poisson Distribution
431 views
Introducing Poisson Distribution
153 views
Poisson Probability Function
191 views
More on Poisson Probability Function
150 views
Problem- Probability of Poisson Distribution
164 views
Poisson Frequency Distribution
228 views
More on Poisson Frequency Distribution
111 views
Mean of Poisson Distribution
703 views
Variance of Poisson Distribution
1651 views
Problem-Mean and Variance of Poisson Distribution
119 views
Moments About Origin of Poisson Distribution
314 views
Second Moment About Origin of Poisson Distribution
258 views
Third Moment About Origin of Poisson Distribution
388 views
Fourth Moment About Origin of Poisson Distribution
339 views
Moments About Mean of Poisson Distribution
209 views
More on Moments About Mean of Poisson Distribution
56 views
Moment Coefficient of Skewness and Kurtosis of Poisson Distribution
1727 views
Fitting a Poisson Distribution to Observed Data
810 views
Poisson Process
613 views
Recurrence Formula of Poisson Distribution
122 views
Problem-Recurrence Formula of Poisson Distribution
743 views
Moment Generating Function of the Poisson Distribution
796 views
7.4: The Negative Binomial Distribution (
Practice Test
)
Negative Binomial Distribution
3509 views
More on Negative Binomial Distribution
245 views
Properties of Negative Binomial Distribution
633 views
Problem-Mean and Variance of Negative Binomial Distribution
460 views
7.5: The Geometric Distribution (
Practice Test
)
Introducing Geometric Distribution
253 views
Introducing Geometric Distribution
73 views
More on Introducing Geometric Distribution
133 views
Mean of Geometric Distribution
1166 views
Variance of Geometric Distribution
1530 views
Problem-Mean and Variance of Geometric Distribution
70 views
Moment Generating Function of Geometric Distribution
1375 views
Mean using Moment Generating Function of Geometric Distribution
167 views
7.6: The Multimomial Distribution (
Practice Test
)
The Multinomial Distribution
1229 views
More on The Multinomial Distribution
90 views
Problem - The Multinomial Distribution
589 views
Chapter 8 Continuous probability Distributions (
47 videos
)
  (
Practice Test
)
8.1: Uniform Distribution (
Practice Test
)
An Introduction to the Continuous Uniform Distribution
87 views
Problem-An Introduction to the Continuous Uniform Distribution
18 views
Mean of Continuous Uniform Distribution
94 views
Variance of Continuous Uniform Distribution
160 views
Problem- Mean and Variance of Continuous Uniform Distribution
29 views
Moment Generating Function of Uniform Distribution
335 views
8.2: Exponential Distribution (
Practice Test
)
Introducing Exponential Distribution
119 views
More on Exponential Distribution
50 views
Cumulative Distribution Function of Exponential Distribution
95 views
Problem-Cumulative Distribution Function of Exponential Distribution
12 views
Problem - Dealing with Exponential Distribution
46 views
More on Problem - Dealing with Exponential Distribution
26 views
Mean of Exponential Distribution
173 views
Problem-Mean of Exponential Distribution
12 views
Variance of Exponential Distribution
261 views
Moment Generating Function of Exponential Distribution
260 views
8.3: Normal Distribution (
Practice Test
)
Introducing Normal Distribution
1930 views
Cumulative Distribution Function of Normal Distribution
364 views
Standard Normal Distribution
591 views
Proper Probability Density Function
72 views
Mean of Normal Distribution
1216 views
Variance of Normal Distribution
1096 views
Problem-Mean and Variance of Normal Distribution
93 views
Median of Normal Distribution
626 views
Mode of Normal Distribution
432 views
Empirical Rule for Normal Distribution
72 views
Problem-Empirical Rule for Normal Distribution
15 views
Sum of Two Independent Normal Variables
48 views
Point of Inflexion of Normal Distribution
212 views
Normal Curve
32 views
Mean Deviation of Normal Distribution
492 views
Distribution of Linear Transformation of Normal Random Variable
67 views
Quartile Deviation of a Normal Distribution
394 views
Moments about Mean of Normal Distribution
628 views
Moment Generating Function of Normal Distribution
2425 views
Problem-Moment Generating Function of Normal Distribution
84 views
Characteristics of the Normal Probability Distribution
3328 views
Areas under the Normal Curve
989 views
Tabulated Areas of Normal Distribution
857 views
More on 1. Tabulated Areas of Normal Distribution
634 views
More on 2. Tabulated Areas of Normal Distribution
520 views
Inverse Use of Table of Areas Under Normal Curve
1342 views
More on Inverse Use of Table of Areas Under Normal Curve1
327 views
Problem- Inverse Use of Table of Areas Under Normal Curve
1202 views
Normal Approximation to the Binomial Distribution
722 views
Fitting a Normal Distribution
3479 views
Ordinates of the Normal Distribution
229 views
Chapter 9 Method of Least Squares and Curve Fitting (
7 videos
)
  (
Practice Test
)
9.1: Approximating Line by MLS (
Practice Test
)
Fitting a Straight Line by the Method of Least Squares
221 views
9.2: Approximating Curves by MLS (
Practice Test
)
Approximating Parabola by the Principle of Least Squares
157 views
Approximating Higher Degree Parabolic Curve
119 views
Fitting a Parabola by Using Change of Origin and Unit
146 views
Exponential Curves
201 views
Geometric Curves
263 views
Finding Plausible Values by Least Square Method
212 views
Chapter 10 Simple Regression and Correlation (
19 videos
)
  (
Practice Test
)
10.1: Regression Analysis (
Practice Test
)
Introduction to Regression
1243 views
Deterministic and Probabilistic Relations or Models
988 views
Scatter Diagram
475 views
Fitting a Straight Line by the Method of Least Squares
221 views
Approximating Parabola by the Principle of Least Squares
157 views
Standard Deviation of Regression or Standard Error of Estimate
2397 views
Coefficient of Determination
556 views
10.2: Correlation (
Practice Test
)
Correlation
1125 views
Pearson Product Moment Correlation Coefficient
1262 views
Problem1 - Correlation Coefficient of Random Variables
150 views
Problem2 - Correlation Coefficient of Random Variables
114 views
Problem-Correlation Coefficient for Sample Data
147 views
Affect of Change of Origin on Correlation Coefficient
140 views
More on Affect of Change of Origin on Correlation Coefficient
68 views
Affect of Change of Scale on Correlation Coefficient
199 views
Affect of Change of Scale and Origin on Correlation Coefficient
699 views
10.3: Rank Correlation (
Practice Test
)
Rank Correlation
102 views
Rank Correlation for tied Ranks
3958 views
Correlation Coefficient for Grouped Data
18812 views
Chapter 11 Multiple Regression and Correlation (
8 videos
)
  (
Practice Test
)
11.1: Multiple Regression (
Practice Test
)
Introducing Multiple Regression
143 views
Problem-Introducing Multiple Regression
99 views
Multiple Regression in Deviation Form
69 views
Standard Error of Estimate
2410 views
Coefficient of Multiple Determination and Multiple Correlation
1507 views
Multiple Regression in terms of Linear Correlation Coefficients
203 views
11.2: partial Correlation
Partial Correlation
479 views
Relationship Between Multiple and Partial Correlation
994 views
Chapter 12 Analysis of Time Series (
26 videos
)
  (
Practice Test
)
12.1: Time Series (
Practice Test
)
Introducing Time Series
611 views
Applications of Time Series
706 views
12.2: Components of a Time Series (
Practice Test
)
Secular Trend
2738 views
Seasonal Variations
814 views
Cyclical Fluctuations
1531 views
Irregular or random variations
602 views
12.3: Estimation of Secular Trend (
Practice Test
)
Method of Free Hand Curve
3905 views
Method of Semi-Averages
3730 views
How to Calculate Moving Averages
316 views
Applications of Moving Averages
218 views
Problem - Application for Moving Averages
197 views
Estimating Secular Trend by Method of Least Squares
387 views
Fitting a Parabola or Second Degree Curve
2108 views
Detrending
1645 views
Time Series Decomposition
300 views
12.4: Estimation of Seasonal Variations (
Practice Test
)
The percentage of Annual Average Method
518 views
The Ratio to moving Average Method
9575 views
The Ratio to Trend Method
4184 views
More on The Ratio to Trend Method
1142 views
Problem: The Ratio to Trend Method
7865 views
More on Problem: The Ratio to Trend Method
1587 views
The Link Relative Method
7408 views
Deseasonalization of Data
451 views
12.5: Analysing the Cyclical and Irregular Variations
Analysing the Cyclical Variations
880 views
Analysing the Irregular Variations
133 views
12.6: Forecasting
Forecasting
49 views
Chapter 13 Sampling and Sampling Distribution (
57 videos
)
  (
Practice Test
)
13.1: Introducing Basic Concepts (
Practice Test
)
Applications of Sampling
1228 views
Central Limit Theorem
167 views
Population Vs Sample
941 views
Population and Its Kind
414 views
Sample and Sampling
398 views
Sampling Units and Frame
4996 views
Sampling Versus Census
1731 views
Sampling and Non-Sampling Errors
14824 views
Precision and accuracy
5993 views
Limitations of Sampling
929 views
Sampling Design and Its Types
6495 views
A Representative Vs Biased Sample
386 views
13.2: probability and Non-probability Sampling (
Practice Test
)
Probability and Non-probability Sampling
6397 views
Simple Random Sampling
5361 views
Random Digits
240 views
Systematic Sampling
3014 views
Stratified Sampling
4017 views
Allocation of Sample Sizes in Stratified Sampling
2490 views
Cluster Sampling
1910 views
Introducing Purposive and Quota Sampling
829 views
13.3: Errors in Sampling
True Value, Accuracy, Precision and Error
707 views
Prob-True Value, Accuracy, Precision and Error
262 views
Prob-Simple Random Sampling and Sampling Distribution
340 views
13.4: Sampling and Sampling Distribution (
Practice Test
)
Sampling
263 views
Sampling Distribution
740 views
Sampling With Replacement and Without Replacement
15477 views
Sampling Distribution and Standard Error of Statistic
2512 views
Prob-Sampling Distribution and Standard Error of Statistic
722 views
Prob-Sampling Distribution From General Populations
223 views
13.5: Sampling Distribution of Sample Means (
Practice Test
)
Sampling Distribution of Mean
14040 views
More on Sampling Distribution of Mean
Graphical Representation of Sampling Distribution of Means
265 views
Standard Deviation of the Sampling Distribution With Replacement
780 views
More on Standard Deviation of the Sampling Distribution With Replacement
304 views
Problem- Standard Deviation of Sampling Distribution With Replacement
250 views
Standard Deviation of Sampling Distribution Without Replacement
2227 views
More on Standard Deviation of Sampling Distribution Without Replacement
1910 views
13.6: Sampling Distribution of Difference of Means (
Practice Test
)
Sampling Distribution of Difference of Means
600 views
Variance of Difference of Random Variables
170 views
More on Sampling Distribution of Difference of Means
206 views
More on Variance of Difference of Random Variables
125 views
Problem-Sampling Distribution of Difference of Means
301 views
More on Problem-Sampling Distribution of Difference of Means
195 views
Further to Problem-Sampling Distribution of Difference of Means
154 views
Further to Problem-Sampling Distribution of Difference of Means
138 views
13.7: Sampling Distribution of Sample proportions (
Practice Test
)
Sampling Distribution of Proportions
1239 views
Problem- Sampling Distribution of Proportions
264 views
More on Problem- Sampling Distribution of Proportions
330 views
More on Problem- Sampling Distribution of Proportions
206 views
Sampling Distribution of Difference between Proportions
186 views
13.8: Sampling Distribution of Variances (
Practice Test
)
Sampling Distribution of Variances
781 views
More on Sampling Distribution of Variances
145 views
Further stuff on Sampling Distribution of Variances
118 views
13.9: The Central Limit Theorem (
Practice Test
)
The Central Limit Theorem (irrelevant topic)
848 views
Problem - The Central Limit Theorem (irrelevant topic)
83 views
The Correction for Continuity (irrelevant topic)
68 views
The Law of Large Numbers (irrelevant topic)
133 views
Chapter 14 Statistical Inference:Estimation (
22 videos
)
  (
Practice Test
)
14.1: Introducing Statistical Inference (
Practice Test
)
Introducing Statistical Inference
1477 views
Estimates and Estimators
2013 views
Statistic and Estimator
360 views
Point Estimation
1115 views
Prob-Introducing Point Estimation
115 views
Point Estimation
10746 views
Interval Estimation
1472 views
14.2: Maximum Likelihood Estimator
Maximum Likelihood Estimators
286 views
Problem - Method of Maximum Likelihood for Point Estimation
67 views
14.3: Method of Moments
Method of Moments for Point Estimation
1108 views
14.4: Unbiased Estimator (
Practice Test
)
Introducing Unbiased Estimator
1981 views
Unbiased Estimation of the Variance
336 views
14.5: Confidence Interval (
Practice Test
)
Introducing Confidence Interval
732 views
Confidence Interval for Means with Large Samples
561 views
Confidence Interval for Mue when Sigma Square is Unknown
324 views
Confidence Interval for Differences between Means with Large Sample size
240 views
Confidence Interval for Proportions
181 views
Confidence Intervals for Difference Between Proportions
152 views
One sided Confidence interval
2171 views
Sample size for estimating population mean
147 views
Sample size for estimating population proportion
138 views
Confidence Interval for Paired Observations
36 views
Chapter 15 Statistical Inference:Hypothesis Testing (
28 videos
)
  (
Practice Test
)
15.1: Basic Concepts (
Practice Test
)
Testing hypothesis
1118 views
Formulation of Null and Alternative Hypothesis
1005 views
Prob-Formulation of Null and Alternative Hypothesis
524 views
Simple and Composite Hypothesis
3977 views
Test-Statistics
758 views
Acceptance and Rejection Regions
2157 views
Type 1 and 2 Errors
482 views
The Power of a Test
238 views
The Significance Level
566 views
One Tailed and Two Tailed Test
907 views
General Procedure for Testing Hypothesis
1051 views
The Relationship between Level of Significance and Sample Size
69 views
Left Tailed and Right Tailed Tests
653 views
Prob-Left Tailed and Right Tailed Tests
231 views
Deciding Upon an Appropriate Test
171 views
Level of Significance and Level of Confidence
573 views
15.2: Test of Hypothesis about population Mean (
Practice Test
)
Testing Hypothesis about Mean of a Normal population when Sigma is known
625 views
Testing Hypothesis about Mean of a Normal population when Sigma is Unknown and n>30
326 views
15.3: Test of Hypothesis About population proportion
Test Based on Normal Approximation
181 views
Example- Test Based on Normal Approximation
122 views
15.4: Test of Hypothesis About the Difference Between Two population proportions (
Practice Test
)
Test of Hypothesis About the Difference Between Two Population Proportions
219 views
Prob-Test of Hypothesis About the Difference Between Two Population Proportions
125 views
Testing Hypothesis of Difference Between Two Population Proportions that Equals some Non-zero Value
111 views
Testing Hypothesis of Difference Between Two Population Proportions that Equals some Non-zero Value
93 views
15.5: Testing Hypothesis about Standard Deviation (
Practice Test
)
Testing Hypothesis About Standard Deviation
63 views
Problem-Testing Hypothesis About Standard Deviation
105 views
Relationship Between Confidence Interval and Tests of Hypothesis
107 views
Tests Based on Binomial Distribution
57 views
Chapter 16 The Student's t Distribution (
10 videos
)
  (
Practice Test
)
16.1: The t Distribution (
Practice Test
)
The Students t Distribution
380 views
Problem - The Students t Distribution
86 views
Confidence Interval for Mean with Small Sample
256 views
Problem-Confidence Interval Estimates of Mean From Small Samples
210 views
Hypothesis Testing About the Mean with Unknown Variance
202 views
Confidence Interval for differences between Means for small samples with unknown variance
168 views
Comparing the Mean of Two Normal Populations
357 views
Comparing the Means of Two Normal Distributions with unequal Unknown Variances
274 views
16.2: paired t-test (
Practice Test
)
Confidence Interval for Paired Observations
237 views
The Paired t Test
191 views
Chapter 17 The Chi-Square Distribution (
16 videos
)
  (
Practice Test
)
17.1: The Chi-Square Distribution (
Practice Test
)
Categorical data
519 views
Introducing Chi-Square Distribution
360 views
Prob-Confidence Interval- Estimate of Variance of Normal Population
139 views
More on Prob-Confidence Interval- Estimate of Variance of Normal Population
73 views
Confidence Interval Estimate of Variance From Several Sample Variances
97 views
Testing Hypothesis About Variance of Normal Population
168 views
Bartletts Test
2260 views
Testing Hypothesis About Ps of Multinomial Distribution
208 views
17.2: Goodness of Fit Test
Pearson's Chi Square Test of Goodness of Fit
280 views
17.3: Contingency Tables (
Practice Test
)
Contingency Tables
416 views
Testing Hypothesis of Independence between Attributes
277 views
Yates Correction for Continuity
1071 views
More on Yates Correction for Continuity
211 views
17.4: Tests of Homogeneity (
Practice Test
)
What is Homogeneity
39 views
Testing Hypothesis About Equality of Several Proportions
202 views
The Chi-Square Test as a Test of Homogeneity
393 views
Chapter 18 The F Distribution (
3 videos
)
  (
Practice Test
)
18.1: The F Distribution (
Practice Test
)
Introducing F Distribution
633 views
Confidence Interval for the Variance Ratio
166 views
Testing Hypothesis about Equality of Two Variances
183 views
Chapter 19 Analysis of Variance(ANOVA) (
9 videos
)
19.1: Analysis of Variance
Introducing Analysis of Variance
272 views
19.2: One Way ANOVA
One Way Analysis of Variance
414 views
More on One Way Analysis of Variance
178 views
19.3: Two Way ANOVA
Two Way Analysis of Variance Without Interaction
568 views
More on Two Way Analysis of Variance Without Interaction
190 views
Two Way Analysis of Variance With Interaction
174 views
More on Two Way Analysis of Variance With Interaction
90 views
19.4: Multiple Comparison Tests
The Least Significant Difference Test
6349 views
Duncan's Multiple Range Test
11646 views
Chapter 20 Experimental Designs (
9 videos
)
20.1: Experimental Designs
Introduction to Experimental Design
372 views
Basic Principles of Experimental Design
2354 views
20.2: Completely Randomized Design
The Completely Randomized Design
10207 views
Problem: The Completely Randomized Design
7552 views
20.3: The randomized Complete Block Design
The Randomized Complete Block Design
18416 views
Problem: The Randomized Complete Block Design
6753 views
Efficiency of RCB Design Relative to CR Design
35 views
20.4: The Latin Square Design
The Latin Square Design
16609 views
Problem: The Latin Square Design
6918 views
Chapter 21 Statistical Inference in Regression and Correlation (
14 videos
)
21.1: Confidence interval in Regression
Confidence Interval Estimate of Population Regression Coefficient
280 views
Confidence Interval Estimate of Alpha, the Intercept of Regression Line
232 views
Confidence Interval Estimate of Mean Value for a Given Value of x
147 views
Prediction Interval of an Individual y Value for a Given Value of x
194 views
21.2: Hypothesis Testing in the Regression
Testing Hypothesis about Beta, the Population Regression Coefficient
195 views
Testing Hypothesis About Alpha, the Intercept of Population Regression
90 views
Testing Hypothesis About Equality of Regression Coefficient of Two Regression Lines
193 views
Testing Hypothesis About the Linearity of Regression
49 views
21.3: Hypothesis Testing in Correlation
Hypothesis Testing About Correlation Coefficient
80 views
More on Hypothesis Testing About Correlation Coefficient
34 views
Testing Hypothesis About the Equality of Two Correlations
48 views
Testing Hypothesis About the Equality of Several Correlations
13 views
Testing Hypothesis About Partial Correlation
212 views
Testing Hypothesis that a Multiple Correlation Coefficient is Zero
182 views
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