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What else can I help you with?
What is the the relationship between population and sample parameter and statistic?
The relations depend on what measures. The sample mean is an unbiased estimate for the population mean, with maximum likelihood. The sample maximum is a lower bound for the population maximum.
Is the sample mean a point estimate of the population mean?
A point estimate of a population parameter is a single value of a statistic. For example, the sample mean x is a point estimate of the population mean μ. Similarly, the sample proportion p is a point estimate of the population proportion P.
Standard deviation considered a crude measure of variance?
No. Well not exactly. The square of the standard deviation of a sample, when squared (s2) is an unbiased estimate of the variance of the population. I would not call it crude, but just an estimate. An estimate is an approximate value of the parameter of the population you would like to know (estimand) which in this case is the variance.
What are the quality of a good estimator?
A "Good" estimator is the one which provides an estimate with the following qualities:Unbiasedness: An estimate is said to be an unbiased estimate of a given parameter when the expected value of that estimator can be shown to be equal to the parameter being estimated. For example, the mean of a sample is an unbiased estimate of the mean of the population from which the sample was drawn. Unbiasedness is a good quality for an estimate, since, in such a case, using weighted average of several estimates provides a better estimate than each one of those estimates. Therefore, unbiasedness allows us to upgrade our estimates. For example, if your estimates of the population mean µ are say, 10, and 11.2 from two independent samples of sizes 20, and 30 respectively, then a better estimate of the population mean µ based on both samples is [20 (10) + 30 (11.2)] (20 + 30) = 10.75.Consistency: The standard deviation of an estimate is called the standard error of that estimate. The larger the standard error the more error in your estimate. The standard deviation of an estimate is a commonly used index of the error entailed in estimating a population parameter based on the information in a random sample of size n from the entire population.An estimator is said to be "consistent" if increasing the sample size produces an estimate with smaller standard error. Therefore, your estimate is "consistent" with the sample size. That is, spending more money to obtain a larger sample produces a better estimate.Efficiency: An efficient estimate is one which has the smallest standard error among all unbiased estimators.The "best" estimator is the one which is the closest to the population parameter being estimated.
How do you find the degrees of freedom when using the t distribution to estimate or test the mean of a sample from a single population?
If the sample consisted of n observations, then the degrees of freedom is (n-1).
What is used to estimate the population parameter?
point estimate
What sample statistic is used to estimate a population parameter?
A point estimate is a single value (statistic) used to estimate a population value (parameter)true apex
What is Hypothesis Testing of Point Estimate?
A statistical estimate of the population parameter.
Number used to estimate a population parameter?
A point estimate is a single value used to estimate a population parameter, such as the sample mean used to estimate the population mean. Confidence intervals can also be used to provide a range within which the population parameter is likely to lie.
Is point estimate a range of values used to estimate a population parameter?
mabye, mabye not
What is the the relationship between population and sample parameter and statistic?
The relations depend on what measures. The sample mean is an unbiased estimate for the population mean, with maximum likelihood. The sample maximum is a lower bound for the population maximum.
Is the sample mean a point estimate of the population mean?
A point estimate of a population parameter is a single value of a statistic. For example, the sample mean x is a point estimate of the population mean μ. Similarly, the sample proportion p is a point estimate of the population proportion P.
What is the absolute value of the difference between the point estimate and the population parameter it estimates?
B. The sampling error
Does a random largely selected sample always give a better estimate of the population than a randomly selected sample?
A larger random sample will always give a better estimate of a population parameter than a smaller random sample.
What is the significance of the estimated parameter phi hat in the context of statistical modeling?
The estimated parameter phi hat is important in statistical modeling because it represents the best guess or estimate of the true parameter phi. It helps us make predictions and draw conclusions about the population based on the sample data we have collected.
Statistic and a sample is the same relationship between what?
A statistic and a sample have a relationship similar to that between a population and a parameter. A sample is a subset of a population, while a statistic is a numerical value calculated from that sample, used to estimate the corresponding population parameter. Essentially, a statistic provides insight into the characteristics of a larger group based on the analysis of a smaller, representative portion.
Standard deviation considered a crude measure of variance?
No. Well not exactly. The square of the standard deviation of a sample, when squared (s2) is an unbiased estimate of the variance of the population. I would not call it crude, but just an estimate. An estimate is an approximate value of the parameter of the population you would like to know (estimand) which in this case is the variance.
