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# Statistics

Statistics is the study of the collection, organization, analysis, interpretation and presentation of data. Statistics looks at all aspects of data. Statistics is mostly application based due to its numerical roots. It is usually considered a distinct mathematical science rather than a branch of mathematics. People who study statistics are called statisticians.

Statisticians will improve data quality by developing specific experiment designs and survey samples. Statistics provides tools for both predictions and forecasting - the most important use of data and statistical models. It is applicable to a wide variety of academic disciplines. The methods can summarize a collection of data. It is useful in communicating the results of experiments and research. This method is called descriptive statistics.

Statistics is closely related to probability theory. Probability starts from the given parameters of a total population to deduce probabilities that pertain to samples.  Statistical inference moves in the opposite direction; it inductively infers from samples to the parameter of a total population.

Common concepts include probability distributions, density functions, z-scores, t-tests, regression analysis, hypothesis testing, ANOVA analysis, etc.

## Categories within Statistics

### Descriptive Statistics

Solutions: 5,041

Descriptive statistics is the process of summarizing data in both a quantitative and visual manner. In a quantitative sense, typically this involves highlighting the main elements of a collection of data.

### Data Collection

Solutions: 915

Data collection is fundamental to the study of statistics because it is an integral step in the process of carrying out a research study.

### Statistical Theory

Solutions: 263

Statistical theory is a way of comparing statistical procedures.

### Correlation and Regression Analysis

Solutions: 4,454

Regression analysis involves identifying the relationship between a dependent variable and one or more independent variables.

### Multivariate, Time-Series, and Survival Analysis

Solutions: 107

Multivariate statistics is a form of statistics encompassing the simultaneous observation and analysis of more than one outcome variable.

### Probability

Solutions: 4,353

Probability is a measure of how likely it is that something will happen or that a statement is true.

### Hypothesis Testing

Solutions: 8,802

Hypothesis testing is a method of making decisions using data from a scientific study.