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Difference between sampling with replacement and sampling without replacement?
Wiki User
∙ 12y ago
Sampling with replacement:
Consider a population of potato sacks, each of which has either 12, 13, 14, 15, 16, 17, or 18 potatoes, and all the values are equally likely. Suppose that, in this population, there is exactly one sack with each number. So the whole population has seven sacks. If I sample two with replacement, then I first pick one (say 14). I had a 1/7 probability of choosing that one. Then I replace it. Then I pick another. Every one of them still has 1/7 probability of being chosen. And there are exactly 49 different possibilities here (assuming we distinguish between the first and second.) They are: (12,12), (12,13), (12, 14), (12,15), (12,16), (12,17), (12,18), (13,12), (13,13), (13,14), etc.
Sampling without replacement:
Consider the same population of potato sacks, each of which has either 12, 13, 14, 15, 16, 17, or 18 potatoes, and all the values are equally likely. Suppose that, in this population, there is exactly one sack with each number. So the whole population has seven sacks. If I sample two without replacement, then I first pick one (say 14). I had a 1/7 probability of choosing that one. Then I pick another. At this point, there are only six possibilities: 12, 13, 15, 16, 17, and 18. So there are only 42 different possibilities here (again assuming that we distinguish between the first and the second.) They are: (12,13), (12,14), (12,15), (12,16), (12,17), (12,18), (13,12), (13,14), (13,15), etc.
What's the Difference?
When we sample with replacement, the two sample values are independent. Practically, this means that what we get on the first one doesn't affect what we get on the second. Mathematically, this means that the covariance between the two is zero.
In sampling without replacement, the two sample values aren't independent. Practically, this means that what we got on the for the first one affects what we can get for the second one. Mathematically, this means that the covariance between the two isn't zero. That complicates the computations. In particular, if we have a SRS (simple random sample) without replacement, from a population with variance , then the covariance of two of the different sample values is , where N is the population size.
Wiki User
∙ 12y ago
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Difference between sampling with replacement and without replacement?
http://www.ma.utexas.edu/users/parker/sampling/repl.htm
What is sampling without replacement?
The representative part of Population is called Sample.
When sampling without replacement should you use multiplication rule for independents or dependents events?
hell no nigaa
What does it mean when sampling is done without replacement?
Once an individual is selected, the individual cannot be selected again.
What is the difference between random assignment and random sampling?
Random sampling is the sample group of subjects that are selected by chance, without bias. Random assignment is when each subject of the sample has an equal chance of being in either the experimental or control group of an experiment.
Difference between sampling with replacement and without replacement?
http://www.ma.utexas.edu/users/parker/sampling/repl.htm
What is sampling without replacement?
The representative part of Population is called Sample.
When sampling without replacement should you use multiplication rule for independents or dependents events?
hell no nigaa
What does it mean when sampling is done without replacement?
Once an individual is selected, the individual cannot be selected again.
As defined in the text random sampling requires sampling with replacement?
Not necessarily. A random sample can occur with or without replacement, depending on what makes more sense. For instance, trying to calculate the odds of a dice roll would require a random sample with replacement (because it is perfectly possible to get a 6 on each and every die); trying to calculate the odds of a poker hand, however, would require random sampling without replacement (the ace of spades can only show up once in any given round of dealing). when the population size is large enough, the difference between the two is meaningless; people who make national surveys, for instance, usually choose people randomly without replacement (there's no possibility they will survey the same person twice) but treat it as though the were sampling with replacement (because the math is easier). The only requirement for a random sample is that each object that might be chosen has a known and well-defined probability of being chosen at any given moment. For random samples with replacement that probability is always the same; For random samples without replacement that probability is determined by the objects that have previously been selected.
What is the difference between random assignment and random sampling?
Random sampling is the sample group of subjects that are selected by chance, without bias. Random assignment is when each subject of the sample has an equal chance of being in either the experimental or control group of an experiment.
What is the difference between the population and sample regression functions Is this a distinction without difference?
What is the difference between the population and sample regression functions? Is this a distinction without difference?
The difference between active and passive monitoring sampling?
Active Sampling refers to the process of connecting sample collection media (i.e., thermal desorption tube) to a sampling train consisting of inert tubing and a sample pump operating at a know flow rate. Once activated, the sample pump draws air through the sample media, resulting in a know sample volume. Passive Sampling refers to the process of allowing sample collection media (i.e., thermal desorption tube) to passively diffuse air through the sample media without benefit of 'forced air'. This allows for longer potential sample periods without concern for overloading the sampling media. •
What is the difference between 075 and 75?
Without a decimal, there is no difference.
Two cards are drawn from a deck of cards. what is the probability that both cards are spades?
This question is a little bit tricky. In a deck of 52 cards, one-fourth or 13 cards are spades. So, the chance of drawing one spade = 13/52 or 0.25. If a second card drawn, there's one less spade in the deck, so the probability on the second draw is 12/51. The probability of drawing two spades from a deck is 0.25 x 12/51 = 0.058824 This is called sampling without replacement. In quality control, it is very common to sample without replacement as bad parts are discarded. If we consider drawing one card, putting it back in the deck, regardless if it is a spade or not, then reshuffling the deck and drawing the second card, the probability is 0.25 x 0.25 = 0.0625, a bit higher with replacement. This is the same as 1/4 x 1/4 = 1/8 or saying the odds are 1:8. I've included a couple of links on sampling with replacement and without replacement. Generally, for calculating statistics, we attempt to get independent results. The draw of one card, will reduce the population, and change the probabilities on the second draw, so sampling without replacement is not independent sampling. See related links.
Differentiate between natural sampling and flat-top sampling?
The natural sampling is one which can be represented with respect to amplitude of the analog signal.The flat top sampling is the one which can be represented in only a particular amplitude which cannot be changed with respect to the analog signalthis is true but let me add another difference that Is The Noise ...In Natural sampling : the sample take the top signals shape ( respect to amplitude of the analog signal ) which mean if there is noise above signal , when it will be demodulate with LBF (low pass filter ) it will cut from the original signal ,,,, We cant do that ...but In Flat-Top sampling : the sample shape will be lated so if there is noise we can remove it easily and the signal we be like it transmitted without any noise ...
Why is the difference between scalars and vectors important?
Without the difference between scalars and vectors the Universe doesn't work !
