By Essie Osborn


Statistics define confidence interval as a range of figures that gives the most approximate answer. The estimations of computations are important in determining the reliability the data. The answer should be the same if the experiment is repeated using similar parameters. The research is more reliable if similar results would be obtained.

The central limit theorem is relied upon to give the value of distribution within a population. The confidence intervals for proportions are possible to construct especially when working with large sample sizes and a large population. The sample mean in this case must be evenly distributed within that population.

Getting the right figure is simplified if normal distribution and probability distribution are close. Indicator values of 1 for true and 0 for false make application of central limit theorem easier. The statistician must have figures that include both positive and negative figures. This means figures below and above zero.

The probability of a negative result during sampling is rare and only happens in extrapolation surveys. It is therefore challenging to implement this theorem. Extrapolations and predictions are the best ways this method works. The binomial approach will work in most of these cases.

The figure is best given in the form of a percentage. It is more reliable working with larger figures. A lower figure indicates that a lot of assumptions were made to the extent of affecting the final answer. This becomes a challenge since the conclusions made using such information are likely to be erroneous.

The interval for a mean indicates a value within which the real figure must lie. It tests the reliability of an estimate. If the value lies outside the bounds set, the research is regarded as doubtful. Such an interval is used in different fields including business and medicine.

A wide interval might suggest that the data collected is not sufficient for the conclusion being sort. The figures are unreliable and do not work well with the research methodology. Such data cannot give a conclusive answer and any that is given would be very erroneous.

Estimation gives a figure that can be used to get a rough idea of what is being done. Use of the binomial approach offers more accuracy and reliability to the data. The size of the data reduces the chances of error when making an approximation.

It is important for the data used to be uniformly collected. This works best in case it is continuous if linear sources are used. Most textbooks and classes give approximation as the best way to get the interval. There are simple formulas to use for calculations that give reliable figures as well. The important of your data will inform you on the best approach to take.

Common computation formulas include Jeffreys interval, Wilson score interval and Clopper Pearson interval. Agresti Coull and Arc Sine transformation are also used. They give very reliable figures. Making assumptions and using inaccurate data are the factors that affect the reliability of figures obtained.




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