First you have chose an estimator for what you want to know about the population. In general the level of variability in the result that any estimator provides will depend on the variability in the population. Therefore, the greater the variability in the population the larger your sample size must be.
You will also need to decide how much precision is required in your estimate. The more precision you require the greater your sample size will have to be.
that you have a large variance in the population and/or your sample size is too small
A large trial is necessary to provide good sample that is representative of the population
When performing an experiment or gathering data for statistics, it would be very difficult to gather information for every member of the group's population. Instead, one can gather information from a sample large enough to be representative of the population.
The answer depends on how rare or common the selected trait is. For something that is very rare, you will need a much larger sample to get a reasonable estimate of proportion.
Some assumptions that must be made in order to use a sample to describe a population is to ensure that an accurate sample of the population has been taken. Some factors that must be taken in to account include: gender, race, ethnicity, age, and any other factors that may affect the outcome of the total population. Also the number of sample in relation to the population is also a big factor. Usually, census services use population ratios of per 1000 people.
For extremely large populations, the best method to determine size is often statistical sampling. This involves taking a representative sample of the population and using statistical techniques to estimate the full population size. This method is efficient and cost-effective for large populations.
A disadvantage to a large sample size can skew the numbers. It is better to have sample sizes that are appropriate based on the data.
large
A sample consists of a small portion of data when a population is taken from a large amount.
The sample must be large and random.
that you have a large variance in the population and/or your sample size is too small
The term is "representative sample." It is a subset of a population that accurately reflects the characteristics of the whole population it is meant to represent.
Span the full spectrum of a population's genetic variation. <apex> Reflects the genetic variation of a population...
A large trial is necessary to provide good sample that is representative of the population
Because the whole population might be too large to sample. A good example is the population of the world. At nearly 7 billion people, it would be unrealistic to sample each person to determine some factor that you are looking at. Generally, we sample a subset of the population, taking into account differences (or errors) that might result, in this case, regional and cultural, in order to estimate the behavior of the larger population.
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The law of large numbers states that as the number of observations in a sample increases, the sample mean will tend to approach the population mean. In other words, the larger the sample size, the more accurate the estimate of the population parameter. This law forms the basis for statistical inference and hypothesis testing.