11 Flashcards

1
Q

If random variables X and Y are independent, then the variance of R is?

A

Sigma_x ^2 + sigma_y ^2, but not Covariance.

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2
Q

Whenever you find the variance of R after adding or subtracting random variables, the sign is?

A

Always positive when adding the variances of each of the two random variables.

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3
Q

After you sample the population you?

A

Use the resulting sample to produce an estimate theta ^_n

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4
Q

What does theta ^ _n and theta mean?

A

Estimate, parameter

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5
Q

Estimater?

A

Method for making the estimate

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6
Q

Estimate?

A

Guess after you have collected the sample and followed the method.

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7
Q

Sampling design?

A

Procedure used to collect a sample from a population.

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8
Q

When talking about sampling, you assume that?

A

Every value in the sample was measured without error.

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9
Q

When we are sampling, the errors in our estimates using (theta ^ _n) occur only because a part of the population is included in the sample and may be biased or may exclude rare variables. This type of error is called?

A

Sampling error

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10
Q

Non-sampling errors?

A

Errors in your estimate that are not due to which sample was selected.

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11
Q

Example of non-sampling errors?

A

•Population sampled was different than the population of interest.
•Non-participation
•Non-response
•Poor measurement
•Detectability problems

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12
Q

An estimator (theta^ of theta) is unbiased for theta if its expected value is equal?

A

E(theta^) = theta, theta is the parameter of interest.

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13
Q

Biased sample is?

A

E(theta ^) - theta

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14
Q

If you were to repeat an unbiased sample theta^ again and again and is equaled to theta, then?

A

It’s unbiased.

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15
Q

If you have something unbiased, then its biased value will be?

A

0

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16
Q

If you have positive bias, then you tend to?

A

Tends to Overestimate.

17
Q

If bias is negative, then you tend to?

A

Tends to Underestimate.

18
Q

You can have error but not bias, why?

A

Bias occurs when a sample is sampled multiple times and averaged.