You can overcome or reduce the problem of random error and systematic error while doing an experiment by increasing the sample size, which means averaging over a huge number of observations.
Random sampling is picking a subject at random. Systematic sampling is using a pattern to pick subjects, I.e. picking every third person.
efficiency
simple random sample is to select the sample in random method but systematic random sample is to select the sample in particular sequence (ie 1st 11th 21st 31st etc.)• Simple random sample requires that each individual is separately selected but systematic random sample does not selected separately.• In simple random sampling, for each k, each sample of size k has equal probability of being selected as a sample but it is not so in systematic random sampling.
That is not true. It is true for a simple random sample but not one that is systematic.
A random variable is a function that assigns unique numerical values to all possible outcomes of a random experiment. A real valued function defined on a sample space of an experiment is also called random variable.
how to reduce the problem of random error and systematic error while doing an experiment
To reduce Random and Systematic errors that may have occured during the experiment, by taking their average. This can get the most accurate value.
No, it is a systematic approach
Systematic Errors: Errors due to the design and execution of the experiment. They can be identified through a careful analysis of the experiment and associated experiments, and measures can be taken to correct them. Systematic errors occur with the same magnitude and sign every time the experiment is performed, and affect the accuracy of the results, but not the precision. If an experiment has small systematic errors, it is accurate. Random Errors: Errors due to indeterminate causes throughout the experiment, such as unpredictable mechanical and electrical fuctuations affecting the operation of the instrument or experimental apparatus or even human errors arising from psychological and physiological limitations. They occur with a different sign and magnitude each time an experiment is executed. If an experiment has small random errors, it is precise.
Random sampling is picking a subject at random. Systematic sampling is using a pattern to pick subjects, I.e. picking every third person.
efficiency
simple random sample is to select the sample in random method but systematic random sample is to select the sample in particular sequence (ie 1st 11th 21st 31st etc.)• Simple random sample requires that each individual is separately selected but systematic random sample does not selected separately.• In simple random sampling, for each k, each sample of size k has equal probability of being selected as a sample but it is not so in systematic random sampling.
Compare the efficiency of simple random sampling with systematic random sampling for estimating the population mean and give your comments.
Bias is systematic error. Random error is not.
Random
Systemic or precisely Systematic Error in a reading taken by an instrument occurs due to the parts installed in it. Random error occurs when we get a number of repetitive readings during the same experiment because of human error. Perfect example for random is "Parallax Method".
Stratified random sampling.