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Important Statistics Topics

• Probability (Probability of an Event, Conditional Probability, Discrete and Continuous Probability Distributions)
• Random Variables and Processes
• Regression Analysis
• Probability distributions – Normal, Binomial, Poisson, Hypergeometric etc.
• Measures of Central tendency- Mean, Median, Mode
• Measures of Dispersion- Standard deviation, Mean deviation, Variance
• Sampling Theory
• Time Series Analysis and Forecasting
• Z-tests, T-tests, Chi-square tests
• Confidence Intervals
• Testing of Hypothesis
• Analysis of Variance (ANOVA)
• Sample Surveys
• Power and Confidence Intervals
• Scaling of Scores and Ratings
• Principal Component Analysis
• Factor Analysis
• Correlation and Causation
• Linear Programming Problems

Statistics: Importance of Statistical Methods, Statistical Experiments

Statistics is the field of science that deals with the collection, association and understanding of data. It deals with every aspect of it, including planning of data collection with the help of surveys and designing of experiments.

A statistician is one who is specially versed in the methods of thinking necessary for the successful application of statistical analysis. These people gain this kind of experience by working in any of a large number of fields. There is also a discipline called mathematical statistics which deals with the theoretical underpinnings of the subject.

Statistics is sometimes considered a mathematical science concerned with the collection, examination, explanation, and presentation of data, while at other times it is considered a branch of mathematics concerned with the collection and interpretation of data. Because of its practical roots and its focus on applications, statistics is generally considered to be an individual mathematical science rather than a branch of mathematics.

Statisticians help improve the quality of data through the design of experiments and survey sampling. It also provides essential tools for forecasting and forecasting using field data and statistical models. It applies to a wide variety of academic disciplines, including the social and natural sciences, business, and government. Statistical consultants are available who provide assistance to companies and organizations without direct access to expertise that is relevant to particular problems.

The basic steps followed in a statistical experiment are:

• Planning the research will involve figuring out the number of replicates of the study.
• Designing experiments using blocking to minimize the effects of confounding variables, and following random assignment of treatments to subjects to allow for balanced estimates of treatment effects and experimental error
• Perform the experiment following the appropriate experimental protocol and analyze the data again following the protocol.
• Further investigation of the data set in the secondary analysis to suggest new hypotheses for future studies.
• Documentation and presentation of the results of the studies carried out.

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