CalEst
Encyclopedia
CalEst is a statistics package which also includes probability functions as well as tutorials to enhance the learning of Statistics
and Probability
. It was developed at CONTECK by researchers Jorge Dominguez and Axel Dominguez.
, Inference
(Statistical hypothesis testing
), Descriptive statistics
(Histogram, Pie Chart, Stemplot
among other graphics as well as Summary statistics like Arithmetic mean
, Median
, Mode
and more).
s. The user can use the graphic representation of these distributions to manipulate the thresholds and the parameters. The graphic automatically adjusts itself and provides several information (e.g., area). CalEst also provides a calculator-style interface. In both cases, the user can use the density or accumulative distribution.
The probability distributions included in the latest version of CalEst are:
Discrete
Continuous
Statistics
Statistics is the study of the collection, organization, analysis, and interpretation of data. It deals with all aspects of this, including the planning of data collection in terms of the design of surveys and experiments....
and Probability
Probability
Probability is ordinarily used to describe an attitude of mind towards some proposition of whose truth we arenot certain. The proposition of interest is usually of the form "Will a specific event occur?" The attitude of mind is of the form "How certain are we that the event will occur?" The...
. It was developed at CONTECK by researchers Jorge Dominguez and Axel Dominguez.
Statistics functions
CalEst includes several Statistical functions, such as: Anova, Regression analysisRegression analysis
In statistics, regression analysis includes many techniques for modeling and analyzing several variables, when the focus is on the relationship between a dependent variable and one or more independent variables...
, Inference
Inference
Inference is the act or process of deriving logical conclusions from premises known or assumed to be true. The conclusion drawn is also called an idiomatic. The laws of valid inference are studied in the field of logic.Human inference Inference is the act or process of deriving logical conclusions...
(Statistical hypothesis testing
Statistical hypothesis testing
A statistical hypothesis test is a method of making decisions using data, whether from a controlled experiment or an observational study . In statistics, a result is called statistically significant if it is unlikely to have occurred by chance alone, according to a pre-determined threshold...
), Descriptive statistics
Descriptive statistics
Descriptive statistics quantitatively describe the main features of a collection of data. Descriptive statistics are distinguished from inferential statistics , in that descriptive statistics aim to summarize a data set, rather than use the data to learn about the population that the data are...
(Histogram, Pie Chart, Stemplot
Stemplot
A stemplot , in statistics, is a device for presenting quantitative data in a graphical format, similar to a histogram, to assist in visualizing the shape of a distribution. They evolved from Arthur Bowley's work in the early 1900s, and are useful tools in exploratory data analysis...
among other graphics as well as Summary statistics like Arithmetic mean
Arithmetic mean
In mathematics and statistics, the arithmetic mean, often referred to as simply the mean or average when the context is clear, is a method to derive the central tendency of a sample space...
, Median
Median
In probability theory and statistics, a median is described as the numerical value separating the higher half of a sample, a population, or a probability distribution, from the lower half. The median of a finite list of numbers can be found by arranging all the observations from lowest value to...
, Mode
Mode (statistics)
In statistics, the mode is the value that occurs most frequently in a data set or a probability distribution. In some fields, notably education, sample data are often called scores, and the sample mode is known as the modal score....
and more).
Probability distributions
CalEst incorporates 16 probability distributionProbability distribution
In probability theory, a probability mass, probability density, or probability distribution is a function that describes the probability of a random variable taking certain values....
s. The user can use the graphic representation of these distributions to manipulate the thresholds and the parameters. The graphic automatically adjusts itself and provides several information (e.g., area). CalEst also provides a calculator-style interface. In both cases, the user can use the density or accumulative distribution.
The probability distributions included in the latest version of CalEst are:
Discrete
- Bernoulli distribution
- Binomial distribution
- Poisson distributionPoisson distributionIn probability theory and statistics, the Poisson distribution is a discrete probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time and/or space if these events occur with a known average rate and independently of the time since...
- Uniform distribution (discrete)
Continuous
- Beta distribution
- Chi-squared distribution
- Exponential distributionExponential distributionIn probability theory and statistics, the exponential distribution is a family of continuous probability distributions. It describes the time between events in a Poisson process, i.e...
- Extreme value distribution
- F-distribution
- Gamma distribution
- Normal distribution
- Logistic distribution
- Log-normal distribution
- Student's t-distribution
- Uniform distribution (continuous)Uniform distribution (continuous)In probability theory and statistics, the continuous uniform distribution or rectangular distribution is a family of probability distributions such that for each member of the family, all intervals of the same length on the distribution's support are equally probable. The support is defined by...
- Weibull distribution
See also
- List of statistical packages
- Comparison of statistical packagesComparison of statistical packagesThe following tables compare general and technical information for a number of statistical analysis packages.-General information:Basic information about each product...