academic tutorials

academic tutorials

discuss statistics

Bionominal appropriation is a discrete likelihood conveyance. This distribution was discovered by a Swiss Mathematician James Bernoulli. It is used in such situation where an experiment results in two possibilities – success and failure. Binomial distribution is a discrete probability distribution which expresses the probability of one set of two alternatives-successes (p) and failure (q). […]

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academic tutorials

statistics z table

A simple random sample is defined as one in which each element of the population has an equal and independent chance of being selected. In case of a population with N units, the probability of choosing n sample units, with all possible combinations of NCn samples is given by 1/NCn e.g. If we have a […]

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academic tutorials

statistics weak law of large numbers

Sign to-commotion proportion (contracted SNR) is a measure utilized as a part of science and designing that analyzes the level of a coveted sign to the level of foundation clamor. It is characterized as the proportion of sign energy to the clamor power, regularly communicated in decibels. A proportion higher than 1:1 (more prominent than […]

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academic tutorials

statistics variance

A scatterplot is a graphical way to display the relationship between two quantitative sample variables. It consists of an X axis, a Y axis and a series of dots where each dot represents one observation from a data set. The position of the dot refers to its X and Y values. Patterns of Data in […]

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academic tutorials

statistics venn diagram

In the literature, the terms species richness and species diversity are sometimes used interchangeably. We suggest that at the very least, authors should define what they mean by either term. Of the many species diversity indices used in the literature, the Shannon Index is perhaps most commonly used. On some occasions it is called the […]

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academic tutorials

statistics trimmed mean

Sample planning refers to a detailed outline of measurements to be taken: At what time – Decide the time when a survey is to be conducted. For example, taking people views on newspaper outreach before launch of a new newspaper in the area. On Which material – Decide the material on which the survey is […]

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academic tutorials

statistics type i amp ii errors

Sampling methods are the ways to choose people from the population to be considered in a sample survey. Samples can be divided based on following criteria. Probability samples – In such samples, each population element has a known probability or chance of being chosen for the sample. Non-probability samples – In such samples, one can […]

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academic tutorials

statistics transformations

Root Mean Square, RMS is defined as the square root of mean square where mean square is the arithmetic mean of the squares of numbers. RMS is also termed as the quadratic mean. Formula ${ x_{rms} = \sqrt{ \frac{1}{n} ( {x_1}^2 + {x_2}^2 + … + {x_n}^2 } }$ Where − ${x_i}$ = items under […]

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academic tutorials

statistics ti 83 exponential regression

In statistics, the residual sum of squares (RSS), also known as the sum of squared residuals (SSR) or the sum of squared errors of prediction (SSE), is the sum of the squares of residuals (deviations of predicted from actual empirical values of data). Residual Sum of Squares (RSS) is defined and given by the following […]

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academic tutorials

statistics tdistribution table

Residual analysis is used to assess the appropriateness of a linear regression model by defining residuals and examining the residual plot graphs. Residual Residual($ e $) refers to the difference between observed value($ y $) vs predicted value ($ \hat y $). Every data point have one residual. ${ residual = observedValue – predictedValue \\[7pt] […]

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