Complete the sentence: An unbiased estimator is _____. a. any sample statistic used to approximate a...
Complete the sentence: An unbiased estimator is _____.
| a. |
any sample statistic used to approximate a population parameter |
|
| b. |
a sample statistic, which has an expected value equal to the value of the population parameter |
|
| c. |
a sample statistic whose value is usually less than the value of the population parameter |
|
| d. |
any estimator whose standard error is relatively small |
Homework Answers
An unbiased estimator is a sample statistic, which has an expected value equal to the value of the population parameter
Option B)
Add Answer to:
Complete the sentence: An unbiased estimator is _____.
a.
any sample statistic used to approximate a...
Which of the statements about large-sample estimation is correct? (1) An estimator should be unbiased and...
Which of the statements about large-sample estimation is correct? (1) An estimator should be unbiased and the spread (as measured by the mean) should be as small as possible. (2) The distance between an estimate and the true value of the statistic is called the error of estimation. (3) The 95% Margin of error is: 1.96 Standard error of the estimator. (4) A good confidence interval is as wide as possible.
Which of the statements about large-sample estimation is correct? (1) An estimator should be unbiased and...
Which of the statements about large-sample estimation is correct? (1) An estimator should be unbiased and the spread (as measured by the mean) should be as small as possible. (2) The distance between an estimate and the true value of the statistic is called the error of estimation. (3) The 95% Margin of error is: 1.96 x Standard error of the estimator. (4) A good confidence interval is as wide as possible.
Please give explanation................................................. Multiple Choice. Select the best response 1. An estimator is said to be...
Please give
explanation.................................................
Multiple Choice. Select the best response 1. An estimator is said to be consistent if a. the difference between the estimator and the population parameter grows smaller as the sample b. C. d. size grows larger it is an unbiased estimator the variance of the estimator is zero. the difference between the estimator and the population parameter stays the same as the sample size grows larger 2. An unbiased estimator of a population parameter is defined as...
5. Horvitz-Thompson (HT) estimator (a) (2 marks) Show that the HT estimator es tu/su is unbiased...
5. Horvitz-Thompson (HT) estimator (a) (2 marks) Show that the HT estimator es tu/su is unbiased for the population total. Clearly define any notation used. (b) (1 mark) The variance of the HT estimator is Var(ār(s)) = () Give the HT estimate of the variance based on the sample, S. (c) (1 mark) Suppose we sample with replacement where probability of selecting unit u is pu. Derive the inclusion probability for unit. (d) A sample (n = 6) was randomly...
1. Select all true statements about sample mean and sample median. A) When the population distribution...
1. Select all true statements about sample mean and sample median. A) When the population distribution is skewed, sample mean is biased but sample median is an unbiased estimator of population mean. B) When the population distribution is symmetric, both mean and sample median are unbiased estimators of population mean. C) Sampling distribution of sample mean has a smaller standard error than sample median when population distribution is normal. D) Both mean and median are unbiased estimators of population mean...
True or false A The value of a statistic is often used to estimate the value...
True or false A The value of a statistic is often used to estimate the value of a parameter. B. The value of a statistic is computed using the data in a given sample. C. The value of a parameter is usually unknown, because we cannot obtain data for the entire population. D. The value of a statistic is usually unknown, because we cannot obtain data for the entire population. E. A statistic is a number that describes a population....
Suppose you have an unbiased, normally distributed estimator of a parameter B, and are testing the...
Suppose you have an unbiased, normally distributed estimator of a parameter B, and are testing the null hypothesis B=0 with a two tail test. For the present sample, the standard error of the estimator is 1.0 Suppose the true value of B=0.5. Professor X conducts the study and finds a positive and significant B. If you attempt to replicate Professor X's study in other data sets of the same size, what percentage of those data sets would you expect the...
Quiz: Module 2 Quiz This Question: 1 pt 9 of 10 (8 complete) Consider the population...
Quiz: Module 2 Quiz This Question: 1 pt 9 of 10 (8 complete) Consider the population described by the probability distribution shown in the table. The random variable x is observed twice. If these observations are independen probabilities are shown in the accompanying table Complete parts a through e below. DI! Click the icon to view the table. Find the sampling distribution of s? Type the answers in ascending order fors? HP P( 0.22 0.32 0.24 Type integers or decimals.)...
Which of the following statements is true? (a) If the calculated value of F statistic is...
Which of the following statements is true? (a) If the calculated value of F statistic is higher than the critical value, we reject the alternative hypothesis in favor of the null hypothesis. (b) The F statistic is always nonnegative as SSR, is never smaller than SSRur. (C) Degrees of freedom of a restricted model is always less than the de- grees of freedom of an unre- stricted model. (d) The F statistic is more flexible than the t statistic to...
Question 19 3 pts The ordinary least squares estimator of a slope coefficient is unbiased means...
Question 19 3 pts The ordinary least squares estimator of a slope coefficient is unbiased means if repeated samples of the same size are taken, on average the OLS estimates will be equal to the true slope parameter O the mean of the sampling distribution of the slope coefficient is zero. O the estimated slope coefficient will always be equal to the true parameter value. the estimated slope coefficient will get closer to the true parameter value as the size...
Which of the statements about large-sample estimation is correct? (1) An estimator should be unbiased and the spread (as measured by the mean) should be as small as possible. (2) The distance between an estimate and the true value of the statistic is called the error of estimation. (3) The 95% Margin of error is: 1.96 Standard error of the estimator. (4) A good confidence interval is as wide as possible.
Which of the statements about large-sample estimation is correct? (1) An estimator should be unbiased and the spread (as measured by the mean) should be as small as possible. (2) The distance between an estimate and the true value of the statistic is called the error of estimation. (3) The 95% Margin of error is: 1.96 x Standard error of the estimator. (4) A good confidence interval is as wide as possible.
Please give
explanation.................................................
Multiple Choice. Select the best response 1. An estimator is said to be consistent if a. the difference between the estimator and the population parameter grows smaller as the sample b. C. d. size grows larger it is an unbiased estimator the variance of the estimator is zero. the difference between the estimator and the population parameter stays the same as the sample size grows larger 2. An unbiased estimator of a population parameter is defined as...
5. Horvitz-Thompson (HT) estimator (a) (2 marks) Show that the HT estimator es tu/su is unbiased for the population total. Clearly define any notation used. (b) (1 mark) The variance of the HT estimator is Var(ār(s)) = () Give the HT estimate of the variance based on the sample, S. (c) (1 mark) Suppose we sample with replacement where probability of selecting unit u is pu. Derive the inclusion probability for unit. (d) A sample (n = 6) was randomly...
Quiz: Module 2 Quiz This Question: 1 pt 9 of 10 (8 complete) Consider the population described by the probability distribution shown in the table. The random variable x is observed twice. If these observations are independen probabilities are shown in the accompanying table Complete parts a through e below. DI! Click the icon to view the table. Find the sampling distribution of s? Type the answers in ascending order fors? HP P( 0.22 0.32 0.24 Type integers or decimals.)...
Which of the following statements is true? (a) If the calculated value of F statistic is higher than the critical value, we reject the alternative hypothesis in favor of the null hypothesis. (b) The F statistic is always nonnegative as SSR, is never smaller than SSRur. (C) Degrees of freedom of a restricted model is always less than the de- grees of freedom of an unre- stricted model. (d) The F statistic is more flexible than the t statistic to...
Question 19 3 pts The ordinary least squares estimator of a slope coefficient is unbiased means if repeated samples of the same size are taken, on average the OLS estimates will be equal to the true slope parameter O the mean of the sampling distribution of the slope coefficient is zero. O the estimated slope coefficient will always be equal to the true parameter value. the estimated slope coefficient will get closer to the true parameter value as the size...
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