Search Results

That said, in your particular case it appears that you have $\sim10,000$ values, so the small sample worry is ... relatively small. …

It is not impossible that what you have is a representative sample, but in general you have no means of checking that or of measuring how unrepresentative the sample might be. … For example, you might find it easy to balance males and females in a sample, but balancing a sample according to say the income patterns of the population is enormously more difficult. …

Note that the calculation is using $n - 1$ to divide the sum of squared deviations for a sample of size $n$. …

One common principle is that a statistic is a property of a sample, and a known constant, and a parameter is the corresponding property of the population, and so an unknown constant. … But A set-up of sample and population doesn't characterise all our own problems. …

There is no circularity in reporting that your sample data echo what is broadly known about the population; it's no more circular than reporting that most of the people attending a ballet school are female …

I'd say the second notation is common, although evidently not universal, namely that $n$ is used for sample size and $N$ for population size. … It is often true, naturally, that we know sample size $n$ but we don't know the population size $N$. …

Sums and means are tied together by definition. The fact that a distribution is right-skewed does not undermine this. The median is essentially useless for getting at totals unless a distribution is s …

With sample sizes this different, overlap of intervals is inevitable and a clear ordering a little elusive. The leading evidence arguably remains the point estimates. … Otherwise one possible conclusion is that the sample of $n = 100$ is far too small to take seriously compared with the other samples. …