Recent content by dhiraj

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    MHB Visual illustration of Pearson correlation coefficient r

    From what I have understood about Pearson correlation coefficient I have created a visual illustration, I would like to know if this understanding looks correct. Say I have a sample with 5 data points:- x y 8 6 16 8 20 16 28 12 32 20 My goal is to...
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    MHB Does the magnitude of covariance have any real meaning?

    The title of the question may not be clear. But that is the real difficulty I am facing. I am not able to understand logic behind coming up with this formula for covariance. We know that the sample covariance formula is:- cov(x,y)=\frac{\sum(x_i - \bar{x})(y_i - \bar{y})}{n-1} I am not able...
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    MHB Is the sampling distribution for skewness and kurtosis normal?

    The Central Limit Theorem specifically calls out a sample mean to be following normal distribution (for n>=30 ), But I am referring to certain text, and it is calculating z values for sample skewness and sample kurtosis assuming that these follow Normal distribution. Is it correct? In short...
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    MHB Confusion about greater variance in the numerator for F ratio

    Hi, I am studying about F ratio and how, as a random variable, it follows F Distribution. So let me explain what confuses me. This is what the theory says -- We draw two random samples $sample_x$ and $sample_y$ from two different Normally distributed populations with equal variance...
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