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Statistics and Probability - STA301 - VU Video Lectures

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Definition of Statistics, Observation and Variable, Types of Variables, Measurement Sales, Error of Measurement.
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905 Views
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Data collection and Sampling.
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867 Views
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Types of Data, Tabulation and Presentation of Data, Frequency distribution of Discrete variable.
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852 Views
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Frequency distribution of continuous variable.
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755 Views
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Types o frequency Curves, Cumulative frequency Distribution.
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782 Views
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Stem and Leaf, Introduction to Measures of Central Tendency, Mode.
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702 Views
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Arithmetic Mean, Weighted Mean, Median in case of ungroup Data.
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567 Views
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Median in case of group Data, Median in case of an open-ended frequency distribution, Empirical relation between the mean, median and the mode, Quantiles (quartiles, deciles & percentiles), Graphic location of Quantiles.
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622 Views
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Geometric mean, Harmonic mean, Relation between the arithmetic, geometric and harmonic means, Some other measures of central tendency.
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719 Views
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Concept of dispersion, Absolute and relative measures of dispersion, Range, Coefficient of dispersion,Quartile deviation, Coefficient of quartile deviation.
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697 Views
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Mean Deviation, Standard Deviation and Variance.
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569 Views
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Chebychev’s Inequality, The Empirical Rule, The Five-Number Summary.
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579 Views
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Statistics and Probability, Box and Whisker Plot, Pearson’s Coefficient of Skewness.
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579 Views
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Bowley’s coefficient of Skewness, The Concept of Kurtosis, Percentile Coefficient of Kurtosis, Moments & Moment Ratios, Sheppard’s Corrections, The Role of Moments in Describing Frequency Distributions.
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590 Views
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Simple Linear Regression, Standard Error of Estimate, Correlation.
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663 Views
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Basic Probability Theory, Set Theory, Counting Rules, The Rule of Multiplication.
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636 Views
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Permutations, Combinations, Random Experiment, Sample Space, Events, Mutually Exclusive Events, Exhaustive Events,Equally Likely Events.
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525 Views
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Definitions of Probability, Relative Frequency Definition of Probability.
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516 Views
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Relative Frequency Definition of Probability, Axiomatic Definition of Probability, Laws of Probability, Rule of Complementation,Addition Theorem.
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593 Views
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Application of Addition Theorem, Conditional Probability, Multiplication Theorem.
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554 Views
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Independent and Dependent Events, Multiplication Theorem of Probability for Independent Events, Marginal Probability.
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749 Views
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Bayes’ Theorem, Discrete Random Variable, Discrete Probability Distribution, Graphical Representation of a Discrete Probability Distribution, Mean, Standard Deviation and Coefficient of Variation of a Discrete Probability Distribution, Distribution Function of a Discrete Random Variable.
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815 Views
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Graphical Representation of the Distribution Function of a Discrete Random Variable, Mathematical Expectation, Mean, Variance and Moments of a Discrete Probability Distribution, Properties of Expected Values.
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641 Views
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Chebychev’s Inequality, Concept of Continuous Probability Distribution, Mathematical Expectation, Variance & Moments of a Continuous Probability Distribution.
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528 Views
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Mathematical Expectation, Variance & Moments of a Continuous Probability Distribution, BIVARIATE Probability Distribution.
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525 Views
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BIVARIATE Probability Distributions (Discrete and Continuous), Properties of Expected Values in the case of Bivariate Probability Distributions.
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556 Views
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Properties of Expected Values in the case of Bivariate Probability Distributions, Covariance & Correlation, Discrete Uniform Distribution, Introduction to the Binomial Distribution.
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700 Views
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Binomial Distribution, Fitting a Binomial Distribution to Real Data, Introduction to the Hyper geometric Distribution.
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587 Views
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Hyper geometric Distribution, Poisson distribution and limiting approximation to Binomial, Poisson Process, Continuous Uniform Distribution.
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536 Views
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Normal Distribution, The Standard Normal Distribution, Normal Approximation to the Binomial Distribution.
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553 Views
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Sampling Distribution of X, Mean and Standard Deviation of the Sampling Distribution of X, Central Limit Theorem.
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534 Views
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Sampling Distribution of pˆ, Sampling Distribution of X1 - X2.
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556 Views
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Point Estimation, Desirable Qualities of a Good Point Estimator.
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582 Views
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Methods of Point Estimation, Interval Estimation.
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604 Views
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Confidence Interval for µ, Confidence Interval for µ1-µ2.
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503 Views
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Large Sample Confidence Intervals for p and p1-p2, Determination of Sample Size (with reference to Interval Estimation), Hypothesis-Testing.
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521 Views
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Hypothesis-Testing (continuation of basic concepts), Hypothesis-Testing regarding µ (based on Z-statistic).
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559 Views
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Hypothesis-Testing regarding µ1 - µ2 (based on Z-statistic), Hypothesis Testing regarding p (based on Z-statistic).
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500 Views
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Hypothesis Testing regarding p1-p2 (based on Z-statistic), The Student’s t-distribution, Confidence Interval for µ based on the t-distribution.
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467 Views
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Tests and Confidence Intervals based on the t-distribution, t-distribution in case of paired observations.
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532 Views
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Hypothesis-Testing regarding Two Population Means in the Case of Paired Observations (t-distribution), The Chi-square Distribution, Hypothesis Testing and Interval Estimation Regarding a Population Variance (based on Chi-square Distribution).
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492 Views
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The F-Distribution, Hypothesis Testing and Interval Estimation in order to compare the Variances of Two Normal Populations (based on F-Distribution).
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556 Views
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Analysis of Variance, Experimental Design.
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560 Views
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Randomized Complete Block Design, The Least Significant Difference (LSD) Test, Chi-Square Test of Goodness of Fit.
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559 Views
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Chi-Square Test of Independence, The Concept of Degrees of Freedom, P-value, Relationship between Confidence Interval and Tests of Hypothesis, Overview of the Science of Statistics in Today’s World (including Latest).