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Statistics

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Introduction to statistics. Will eventually cover all of the major topics in a first-year statistics course (not there yet!)

Introduction to statistics. Will eventually cover all of the major topics in a first-year statistics course (not there yet!)
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    Statistics: The Average

    by Khan Academy 593,411 views

    Learn more: http://www.khanacademy.org/video?v=uhxtUt_-GyM
    Introduction to descriptive statistics and central tendency. Ways to measure the average of a set: median, mean, mode

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    Statistics: Sample vs. Population Mean

    by Khan Academy 316,232 views

    Learn more: http://www.khanacademy.org/video?v=hsPCte_PcVA
    The difference between the mean of a sample and the mean of a population.

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    Statistics: Variance of a Population

    by Khan Academy 311,678 views

    Learn more: http://www.khanacademy.org/video?v=6JFzI1DDyyk
    Variance of a population.

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    Statistics: Sample Variance

    by Khan Academy 282,574 views

    Learn more: http://www.khanacademy.org/video?v=Qf3RMGXR-h8
    Using the variance of a sample to estimate the variance of a population

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    Statistics: Standard Deviation

    by Khan Academy 633,948 views

    Learn more: http://www.khanacademy.org/video?v=HvDqbzu0i0E
    Review of what we've learned. Introduction to the standard deviation.

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    Statistics: Alternate Variance Formulas

    by Khan Academy 154,788 views

    Learn more: http://www.khanacademy.org/video?v=sRVGcYGjUk8
    Playing with the formula for variance of a population.

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    Introduction to Random Variables

    by Khan Academy 323,489 views

    Learn more: http://www.khanacademy.org/video?v=IYdiKeQ9xEI
    Introduction to random variables and probability distribution functions.

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    Probability Density Functions

    by Khan Academy 439,524 views

    Learn more: http://www.khanacademy.org/video?v=Fvi9A_tEmXQ
    Probability density functions for continuous random variables.

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    Binomial Distribution 1

    by Khan Academy 452,614 views

    Learn more: http://www.khanacademy.org/video?v=O12yTz_8EOw
    Introduction to the binomial distribution

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    Binomial Distribution 2

    by Khan Academy 212,470 views

    Learn more: http://www.khanacademy.org/video?v=FI8xtVaI068
    More on the binomial distribution

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    Binomial Distribution 3

    by Khan Academy 157,723 views

    Learn more: http://www.khanacademy.org/video?v=vKNpQ_KTXvE
    Basketball binomial distribution

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    Binomial Distribution 4

    by Khan Academy 122,414 views

    Learn more: http://www.khanacademy.org/video?v=H0ZgOGWUcJw
    Using Excel to visualize the basketball binomial distribution

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    Expected Value: E(X)

    by Khan Academy 298,544 views

    Learn more: http://www.khanacademy.org/video?v=j__Kredt7vY
    Expected value of a random variable

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    Expected Value of Binomial Distribution

    by Khan Academy 144,967 views

    Learn more: http://www.khanacademy.org/video?v=SqcxYnNlI3Y
    Expected value of a binomial distributed random variable

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    Poisson Process 1

    by Khan Academy 213,169 views

    Learn more: http://www.khanacademy.org/video?v=3z-M6sbGIZ0
    Introduction to Poisson Processes and the Poisson Distribution.

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    Poisson Process 2

    by Khan Academy 115,099 views

    Learn more: http://www.khanacademy.org/video?v=Jkr4FSrNEVY
    More of the derivation of the Poisson Distribution.

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    Law of Large Numbers

    by Khan Academy 133,558 views

    Learn more: http://www.khanacademy.org/video?v=VpuN8vCQ--M
    Introduction to the law of large numbers

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    Normal Distribution Excel Exercise

    by Khan Academy 120,245 views

    Learn more: http://www.khanacademy.org/video?v=yTGEMoaWDCQ
    (Long-26 minutes) Presentation on spreadsheet to show that the normal distribution approximates the binomial distribution for a large number of trials.

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    Introduction to the Normal Distribution

    by Khan Academy 259,549 views

    Learn more: http://www.khanacademy.org/video?v=hgtMWR3TFnY
    Exploring the normal distribution

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    ck12.org Normal Distribution Problems: Qualitative sense of normal distributions

    by Khan Academy 72,285 views

    Learn more: http://www.khanacademy.org/video?v=79duxPXpyKQ
    Discussion of how "normal" a distribution might be

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    ck12.org Normal Distribution Problems: z-score

    by Khan Academy 165,221 views

    Learn more: http://www.khanacademy.org/video?v=Wp2nVIzBsE8
    Z-score practice

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    ck12.org Normal Distribution Problems: Empirical Rule

    by Khan Academy 106,721 views

    Learn more: http://www.khanacademy.org/video?v=OhRr26AfFBU
    Using the empirical rule (or 68-95-99.7 rule) to estimate probabilities for normal distributions

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    ck12.org Exercise: Standard Normal Distribution and the Empirical Rule

    by Khan Academy 80,457 views

    Learn more: http://www.khanacademy.org/video?v=2fzYE-Emar0
    Using the Empirical Rule with a standard normal distribution

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    ck12.org: More Empirical Rule and Z-score practice

    by Khan Academy 77,956 views

    Learn more: http://www.khanacademy.org/video?v=itQEwESWDKg
    More Empirical Rule and Z-score practice

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    Central Limit Theorem

    by Khan Academy 245,461 views

    Learn more: http://www.khanacademy.org/video?v=JNm3M9cqWyc
    Introduction to the central limit theorem and the sampling distribution of the mean

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    Sampling Distribution of the Sample Mean

    by Khan Academy 171,455 views

    Learn more: http://www.khanacademy.org/video?v=FXZ2O1Lv-KE
    The central limit theorem and the sampling distribution of the sample mean

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    Sampling Distribution of the Sample Mean 2

    by Khan Academy 103,934 views

    Learn more: http://www.khanacademy.org/video?v=NYd6wzYkQIM
    More on the Central Limit Theorem and the Sampling Distribution of the Sample Mean

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    Standard Error of the Mean

    by Khan Academy 192,789 views

    Learn more: http://www.khanacademy.org/video?v=J1twbrHel3o
    Standard Error of the Mean (a.k.a. the standard deviation of the sampling distribution of the sample mean!)

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    Sampling Distribution Example Problem

    by Khan Academy 108,576 views

    Learn more: http://www.khanacademy.org/video?v=0ZstEh_8bYc
    Figuring out the probability of running out of water on a camping trip

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    Confidence Interval 1

    by Khan Academy 228,007 views

    Learn more: http://www.khanacademy.org/video?v=bekNKJoxYbQ
    Estimating the probability that the true population mean lies within a range around a sample mean.

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    Mean and Variance of Bernoulli Distribution Example

    by Khan Academy 53,833 views

    Learn more: http://www.khanacademy.org/video?v=O8vB1eInP_8
    Mean and Variance of Bernoulli Distribution Example

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    Bernoulli Distribution Mean and Variance Formulas

    by Khan Academy 46,201 views

    Learn more: http://www.khanacademy.org/video?v=ry81_iSHt6E
    Bernoulli Distribution Mean and Variance Formulas

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    Margin of Error 1

    by Khan Academy 69,868 views

    Learn more: http://www.khanacademy.org/video?v=OwPSuHXmiPw
    Finding the 95% confidence interval for the proportion of a population voting for a candidate.

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    Margin of Error 2

    by Khan Academy 35,690 views

    Learn more: http://www.khanacademy.org/video?v=YclQE2XtaLw
    Finding the 95% confidence interval for the proportion of a population voting for a candidate.

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    Confidence Interval Example

    by Khan Academy 118,117 views

    Learn more: http://www.khanacademy.org/video?v=SeQeYVJZ2gE
    Confidence Interval Example

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    Small Sample Size Confidence Intervals

    by Khan Academy 64,698 views

    Learn more: http://www.khanacademy.org/video?v=K4KDLWENXm0
    Constructing small sample size confidence intervals using t-distributions

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    Hypothesis Testing and P-values

    by Khan Academy 389,292 views

    Learn more: http://www.khanacademy.org/video?v=-FtlH4svqx4
    Hypothesis Testing and P-values

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    One-Tailed and Two-Tailed Tests

    by Khan Academy 155,429 views

    Learn more: http://www.khanacademy.org/video?v=mvye6X_0upA
    One-Tailed and Two-Tailed Tests

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    Z-statistics vs. T-statistics

    by Khan Academy 233,756 views

    Learn more: http://www.khanacademy.org/video?v=5ABpqVSx33I
    Z-statistics vs. T-statistics

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    Type 1 Errors

    by Khan Academy 97,169 views

    Learn more: http://www.khanacademy.org/video?v=EowIec7Y8HM
    Type 1 Errors

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    Small Sample Hypothesis Test

    by Khan Academy 106,593 views

    Learn more: http://www.khanacademy.org/video?v=D2sMsmL0ScQ
    Small Sample Hypothesis Test

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    T-Statistic Confidence Interval

    by Khan Academy 127,833 views

    Learn more: http://www.khanacademy.org/video?v=hV4pdjHCKuA
    T-Statistic Confidence Interval (for small sample sizes)

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    Large Sample Proportion Hypothesis Testing

    by Khan Academy 60,277 views

    Learn more: http://www.khanacademy.org/video?v=1JT9oODsClE
    Large Sample Proportion Hypothesis Testing

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    Variance of Differences of Random Variables

    by Khan Academy 46,585 views

    Learn more: http://www.khanacademy.org/video?v=rLdoKZ7w0xI
    Variance of Differences of Random Variables

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    Difference of Sample Means Distribution

    by Khan Academy 44,259 views

    Learn more: http://www.khanacademy.org/video?v=TcIDXqmt74A
    Difference of Sample Means Distribution

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    Confidence Interval of Difference of Means

    by Khan Academy 49,489 views

    Learn more: http://www.khanacademy.org/video?v=hxZ6uooEJOk
    Confidence Interval of Difference of Means

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    Clarification of Confidence Interval of Difference of Means

    by Khan Academy 25,944 views

    Learn more: http://www.khanacademy.org/video?v=yQsCMnz9wO8
    Clarification of Confidence Interval of Difference of Means

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    Hypothesis Test for Difference of Means

    by Khan Academy 66,786 views

    Learn more: http://www.khanacademy.org/video?v=N984XGLjQfs
    Hypothesis Test for Difference of Means

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    Comparing Population Proportions 1

    by Khan Academy 37,933 views

    Learn more: http://www.khanacademy.org/video?v=a1Ye5RcWOqg
    Comparing Population Proportions 1

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    Comparing Population Proportions 2

    by Khan Academy 23,938 views

    Learn more: http://www.khanacademy.org/video?v=MNbat1lrJW4
    Comparing Population Proportions 2

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    Hypothesis Test Comparing Population Proportions

    by Khan Academy 38,378 views

    Learn more: http://www.khanacademy.org/video?v=dvSa_tx04hw
    Hypothesis Test Comparing Population Proportions

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    Squared Error of Regression Line

    by Khan Academy 83,785 views

    Learn more: http://www.khanacademy.org/video?v=6OvhLPS7rj4
    Introduction to the idea that one can find a line that minimizes the squared distances to the points

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    Proof (Part 1) Minimizing Squared Error to Regression Line

    by Khan Academy 54,663 views

    Learn more: http://www.khanacademy.org/video?v=mIx2Oj5y9Q8
    Proof (Part 1) Minimizing Squared Error to Regression Line

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    Proof (Part 3) Minimizing Squared Error to Regression Line

    by Khan Academy 36,591 views

    Learn more: http://www.khanacademy.org/video?v=u1HhUB3NP8g
    Proof (Part 3) Minimizing Squared Error to Regression Line

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    Proof (Part 4) Minimizing Squared Error to Regression Line

    by Khan Academy 31,392 views

    Learn more: http://www.khanacademy.org/video?v=8RSTQl0bQuw
    Proof (Part 4) Minimizing Squared Error to Regression Line

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    Regression Line Example

    by Khan Academy 123,420 views

    Learn more: http://www.khanacademy.org/video?v=GAmzwIkGFgE
    Regression Line Example

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    Proof Part 2 Minimizing Squared Error to Line

    by Khan Academy 37,033 views

    Learn more: http://www.khanacademy.org/video?v=f6OnoxctvUk
    Proof Part 2 Minimizing Squared Error to Line

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    R-Squared or Coefficient of Determination

    by Khan Academy 96,424 views

    Learn more: http://www.khanacademy.org/video?v=lng4ZgConCM
    R-Squared or Coefficient of Determination

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    Second Regression Example

    by Khan Academy 38,310 views

    Learn more: http://www.khanacademy.org/video?v=ww_yT9ckPWw
    Second Regression Example

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    Calculating R-Squared

    by Khan Academy 62,947 views

    Learn more: http://www.khanacademy.org/video?v=Fc5t_5r_7IU
    Calculating R-Squared to see how well a regression line fits data

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    Covariance and the Regression Line

    by Khan Academy 71,880 views

    Learn more: http://www.khanacademy.org/video?v=ualmyZiPs9w
    Covariance, Variance and the Slope of the Regression Line

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    [Deleted Video]

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    [Deleted Video]

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    Chi-Square Distribution Introduction

    by Khan Academy 123,746 views

    Learn more: http://www.khanacademy.org/video?v=dXB3cUGnaxQ
    Chi-Square Distribution Introduction

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    Pearson's Chi Square Test (Goodness of Fit)

    by Khan Academy 149,698 views

    Learn more: http://www.khanacademy.org/video?v=2QeDRsxSF9M
    Pearson's Chi Square Test (Goodness of Fit)

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    Contingency Table Chi-Square Test

    by Khan Academy 67,302 views

    Learn more: http://www.khanacademy.org/video?v=hpWdDmgsIRE
    Contingency Table Chi-Square Test

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    ANOVA 1 - Calculating SST (Total Sum of Squares)

    by Khan Academy 131,017 views

    Learn more: http://www.khanacademy.org/video?v=EFdlFoHI_0I
    Analysis of Variance 1 - Calculating SST (Total Sum of Squares)

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    ANOVA 2 - Calculating SSW and SSB (Total Sum of Squares Within and Between).avi

    by Khan Academy 88,719 views

    Learn more: http://www.khanacademy.org/video?v=j9ZPMlVHJVs
    Analysis of Variance 2 - Calculating SSW and SSB (Total Sum of Squares Within and Between).avi

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    ANOVA 3 -Hypothesis Test with F-Statistic

    by Khan Academy 103,172 views

    Learn more: http://www.khanacademy.org/video?v=Xg8_iSkJpAE
    Analysis of Variance 3 -Hypothesis Test with F-Statistic

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    Correlation and Causality

    by Khan Academy 126,027 views

    Learn more: http://www.khanacademy.org/video?v=ROpbdO-gRUo
    Understanding why correlation does not imply causality (even though many in the press and some researchers often imply otherwise)

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