When is sample size adequate




















This gives the number of sample per arm in a controlled clinical trial. This issue of the Journal has an article describing the benefits of ayurvedic treatment AyTP in patients of migraine in an open uncontrolled trial design. The standard deviation based on the data in the published paper would be approximately 0. The sample size calculated using the above formula is based on some conventions Type I and II errors and few assumptions effect size and standard variation.

The sample size ALWAYS has to be calculated before initiating a study and as far as possible should not be changed during the study course. The sample size calculation is also then influenced by a few practical issues, e. Source of Support: Nil. Conflict of Interest: None decleared.

National Center for Biotechnology Information , U. Int J Ayurveda Res. Prashant Kadam and Supriya Bhalerao 1. Author information Copyright and License information Disclaimer. Address for correspondence: Dr. Supriya S.

E-mail: moc. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Understand the end-to-end experience across all your digital channels, identify experience gaps and see the actions to take that will have the biggest impact on customer satisfaction and loyalty. As such you will be sure that each college has a large enough sample size. We want know awareness levels of cancer patients attending hospital in specific area of India having 4 crore population.

What is the minimum sample size required for this study…? Your email address will not be published. This site uses Akismet to reduce spam. Learn how your comment data is processed. Open Sample Size Calculator.

The calculation is based on the following parameters : Size of the population Here you have to enter the size of the group that has to be represented by the sample.

If you conduct an employee survey for instance, your population would be the total staff. Once the population exceeds 20,, your sample size will not change very much anymore. Preferred margin of error This is the positive or negative deviation you allow on your survey results for the sample, in other words the required precision level.

The smaller the allowed margin of error, the larger your sample will have to be. Desired confidence level The confidence level tells you how sure you can be of the margin of error, in other words how often the actual percentage of the population that picks a certain answer, lies within the margin of error. This means the survey results will be in line with reality 19 out of 20 times. If you want a higher confidence level e.

Related articles How to estimate your population and survey sample size? The importance of socio-demographics in online surveys Sample size calculator. June, Alexander Dobronte. Nadiah - May, reply Hi, I in progress to collect data. Gert Van Dessel - May, reply Hi Nadiah, It is the efective number of respondents that determines your sample size.

Satya Pattanaik - April, reply Hello I need your help! ALEK - March, reply hello, i want to conduct a a study with people, what will be my sample size? Gert Van Dessel - April, reply Alek, You can use our sample size calculator to calculate this for different options. Gert Van Dessel - February, reply You can use our sample size calculator to calculate your sample for different populations, confidence levels and margins of error.

Maregere Editor - February, reply Hell i am also doing study what is the sample size of households. Gert Van Dessel - February, reply You can use our sample size calculator to calculate your sample for different confidence levels and margins of error. Sparkles - January, reply Hi I am doing a study on secondary school learners, trying to determine their environmental awareness levels, perceptions and participation.

Gert Van Dessel - February, reply Hi Sparkles, Based on your numbers the total population will be around pupils. Magnolia T. Grefalde - December, reply Hello. Rakib - December, reply I want to do a survey of 80 respondents randomly. Salma - December, reply Hello Van Dessal. Gert Van Dessel - January, Hi Salma, You will need to make an estimation of your population and try to divide your sample in 4 representative subsamples.

Mukuha - November, reply Hi, please assist me to compute sample size for a house hold survey where the number of house holds in the region are for my paper also consider giving me the formula to use.

Nianca - September, reply Hello, I am doing a survey research on 90 nos. Good luck with your research! Maarten Marijnissen - February, reply Hi, To calculate your ideal sample size you need to make an estimation on the total population first.

Good luck with your survey! HAQ - January, reply Thank you so much for this helpful article. Maarten Marijnissen - December, reply Hi, You can calculate your sample size using our sample size calculator. Gert Van Dessel - September, Masum, First of all you have to make an estimation on the total population, e. Nount - August, reply Why we have to you standard sample size or in our research paper?

Anyone know,please? Abdullah - August, reply Good morning sir. Gert Van Dessel - September, Mohamed, P stands for the proportion you expect for the question you are investigating.

Sinead - July, reply Hi, I am trying to determine what sample sizes needed- we are carrying out a quality improvement survey with patients in 40 hospitals wherein the number of patients range from aprox ,, giving a total population of 33, patients across all hospitals. Tiga - June, reply Please I just to know the author of sample size calculator. Gert Van Dessel - June, reply Tiga, This is based on a formula that is commonly used for all sample size calculators on the internet and can be found in most statistical manuals.

What is the sample size for a population of recorded households Kind regards. Gert Van Dessel - September, You can use our sample size calculator to calculate you sample size for different confidence levels and margins of error. Varsha Gupta - December, reply Dear sir I want to conduct survey on small and medium enterprise where in there are around SMEs in my universe.

Gert Van Dessel - December, reply For small populations you almost need to include the entire population in your sample to get a reasonable margin of error. Amunyela frans - June, reply Dear sir i want to conduct a survey in a town, i have counted the number of houses per location and i got the total number of houses in the Town, but im struggling to get the minimum sample size for all the population or probably the acceptable sample size.

Gert Van Dessel - October, reply Rommon, If you want ot treat your stratea as separate populations, you also have to look at them separately and calculate sample sizes per stratum.

Kugan - October, reply I want to know the sample size of my survey. Carlos - September, reply Hi, What is the best way to calculate the sample size so yhat it is repreentative of the population in the following case.

Should I eliminate the customers that are in credit hold for that month? So how do I get the most accurate sample size? Regards, CR. Shradha - August, Hi, I am doing an interview based survey of households for a minor research project. Tedd - July, reply Hello , I am not that much into stat but i really need to determine my sample size out of a population of , Gert Van Dessel - July, reply You can use our sample size calculator to determine the required sample size.

Sang Park - July, reply Hi, Thank you for your post. Gert Van Dessel - July, reply Hello, I have no straightforward answer for this specific question, I suggest you post this on a specialized statistical forum. Mahmoud - June, reply Hi, If I have to report so what should the sample size be? Gert Van Dessel - June, reply Hi Regina, This is not a straightforward question and requires some advances statistics.

Noel - May, reply Hello- we are currently conducting a customer survey and I was wondering if the way we are currently doing is better than sampling the population. Thanks much, Noel. Md Tariqul Islam - May, reply would you kindly tell about the reference of this equation using here.

Lisa - May, reply How would I determine the correct sample for auditng purposes at an individual level? If I have 90…is it enough? Ishtiaq - March, reply I have 20 colleges with different no. Asad - February, reply I am going to conduct the baseline study of 3 districts. Nasriah Macadato - October, reply Hello. Celia - September, reply I have read lots of theories on determining sample sizes.

Akanksha Jain - September, reply Hi, I got to learn a about the computation of Sample size but I would like to know a precise answer to my problem statement. Thanks in advance. I suppose you mean that your survey is mandatory rather than voluntary? How many children should be enrolled in the study? The standard deviation of systolic blood pressure is unknown, but the investigators conduct a literature search and find that the standard deviation of systolic blood pressures in children with other cardiac defects is between 15 and To estimate the sample size, we consider the larger standard deviation in order to obtain the most conservative largest sample size.

Because the estimates of the standard deviation were derived from studies of children with other cardiac defects, it would be advisable to use the larger standard deviation and plan for a study with 62 children.

Selecting the smaller sample size could potentially produce a confidence interval estimate with a larger margin of error. An investigator wants to estimate the mean birth weight of infants born full term approximately 40 weeks gestation to mothers who are 19 years of age and under.

The mean birth weight of infants born full-term to mothers 20 years of age and older is 3, grams with a standard deviation of grams. Try to work through the calculation before you look at the answer.

The equation to determine the sample size for determining p seems to require knowledge of p, but this is obviously this is a circular argument, because if we knew the proportion of successes in the population, then a study would not be necessary!

What we really need is an approximate value of p or an anticipated value. The range of p is 0 to 1, and therefore the range of p 1-p is 0 to 1. An investigator wants to estimate the proportion of freshmen at his University who currently smoke cigarettes i. Because we have no information on the proportion of freshmen who smoke, we use 0. If the investigator believes that this is a reasonable estimate of prevalence 2 years later, it can be used to plan the next study.

An investigator wants to estimate the prevalence of breast cancer among women who are between 40 and 45 years of age living in Boston. How many women must be involved in the study to ensure that the estimate is precise? National data suggest that 1 in women are diagnosed with breast cancer by age This translates to a proportion of 0.

The sample size is computed as follows:. This is a situation where investigators might decide that a sample of this size is not feasible.

Suppose that the investigators thought a sample of size 5, would be reasonable from a practical point of view. Recall that the confidence interval formula to estimate prevalence is:.

Assuming that the prevalence of breast cancer in the sample will be close to that based on national data, we would expect the margin of error to be approximately equal to the following:. The investigators must decide if this would be sufficiently precise to answer the research question.

Note that the above is based on the assumption that the prevalence of breast cancer in Boston is similar to that reported nationally. This may or may not be a reasonable assumption. In fact, it is the objective of the current study to estimate the prevalence in Boston. In studies where the plan is to estimate the difference in means between two independent populations, the formula for determining the sample sizes required in each comparison group is given below:.

Recall from the module on confidence intervals that, when we generated a confidence interval estimate for the difference in means, we used Sp, the pooled estimate of the common standard deviation, as a measure of variability in the outcome based on pooling the data , where Sp is computed as follows:.

If data are available on variability of the outcome in each comparison group, then Sp can be computed and used in the sample size formula. However, it is more often the case that data on the variability of the outcome are available from only one group, often the untreated e. When planning a clinical trial to investigate a new drug or procedure, data are often available from other trials that involved a placebo or an active control group i.

The standard deviation of the outcome variable measured in patients assigned to the placebo, control or unexposed group can be used to plan a future trial, as illustrated below. Note that the formula for the sample size generates sample size estimates for samples of equal size. If a study is planned where different numbers of patients will be assigned or different numbers of patients will comprise the comparison groups, then alternative formulas can be used.

An investigator wants to plan a clinical trial to evaluate the efficacy of a new drug designed to increase HDL cholesterol the "good" cholesterol. The plan is to enroll participants and to randomly assign them to receive either the new drug or a placebo. HDL cholesterol will be measured in each participant after 12 weeks on the assigned treatment. The investigator would like the margin of error to be no more than 3 units.

How many patients should be recruited into the study? To plan this study, we can use data from the Framingham Heart Study. In participants who attended the seventh examination of the Offspring Study and were not on treatment for high cholesterol, the standard deviation of HDL cholesterol is We will use this value and the other inputs to compute the sample sizes as follows:.

Again, these sample sizes refer to the numbers of participants with complete data. In order to ensure that the total sample size of is available at 12 weeks, the investigator needs to recruit more participants to allow for attrition. An investigator wants to compare two diet programs in children who are obese. One diet is a low fat diet, and the other is a low carbohydrate diet. The plan is to enroll children and weigh them at the start of the study. Each child will then be randomly assigned to either the low fat or the low carbohydrate diet.

Each child will follow the assigned diet for 8 weeks, at which time they will again be weighed. The number of pounds lost will be computed for each child. How many children should be recruited into the study? To plan this study, investigators use data from a published study in adults.

Suppose one such study compared the same diets in adults and involved participants in each diet group. The study reported a standard deviation in weight lost over 8 weeks on a low fat diet of 8. These data can be used to estimate the common standard deviation in weight lost as follows:. Again, these sample sizes refer to the numbers of children with complete data. In order to ensure that the total sample size of is available at 8 weeks, the investigator needs to recruit more participants to allow for attrition.

In studies where the plan is to estimate the mean difference of a continuous outcome based on matched data, the formula for determining sample size is given below:.

It is extremely important that the standard deviation of the difference scores e.



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