Ideas and Concepts of Estimating Population Parameters
Population parameters and sample statistics are different even though they appear similar. A population parameter is a description of an entire population, while sample statistics describe a sample extracted from a given defined population. With population parameters, it is often difficult to obtain descriptive figures unlike in the sample statistics. Each population parameter has its own corresponding statistic that is measurable. As enumerated by Osborn (2018), a population parameter is a fixed number, while a sample statistic is dependent on a sample size.
The Ordinary Least Squares (OLS) is a proven method of estimating population parameters. It is based on the premise of averages. As such, the OLS regression line is located to minimize the sum of squared distances between individual points and the regression line. Another alternative method is the use of the maximum likelihood estimation. The method works by determining the parameters that maximize the likelihood from a given observation
It is a range of values defined such that there is a specified probability that the value of the parameter lies within it (Stat Trek, 2018). It is an indication of the frequency of potential confidence intervals that might exist within an unknown population parameter. As such, it comprises a range of possible values that are representative of a given unknown population parameter.
It is a representation of a range of values that exist below and above the sample statistic in a confidence interval. It is an indication of how the results acquired, in percentage points, will be different from the real population value and it is given by the formula, E= zα/2 (ϭ/√ n). In simple terms, the Margin of Error for a sample statistic is a product of the critical value and the standard deviation of the statistic in question.
Osborn, R. (2018). Difference between Parameter and Statistic. Differencebetween.net Retrieved from http://www.differencebetween.net/miscellaneous/difference-between-parameter-and-statistic/Stat Trek. (2018). Confidence Interval.Stat Trek. Retrieved from https://stattrek.com/statistics/dictionary.aspx?definition=confidence_interval
Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.
You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.
Read moreEach paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.
Read moreThanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.
Read moreYour email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.
Read moreBy sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.
Read more