- Statistics - Discussion
- Z table
- Weak Law of Large Numbers
- Venn Diagram
- Variance
- Type I & II Error
- Trimmed Mean
- Transformations
- Ti 83 Exponential Regression
- T-Distribution Table
- Sum of Square
- Student T Test
- Stratified sampling
- Stem and Leaf Plot
- Statistics Notation
- Statistics Formulas
- Statistical Significance
- Standard normal table
- Standard Error ( SE )
- Standard Deviation
- Skewness
- Simple random sampling
- Signal to Noise Ratio
- Shannon Wiener Diversity Index
- Scatterplots
- Sampling methods
- Sample planning
- Root Mean Square
- Residual sum of squares
- Residual analysis
- Required Sample Size
- Reliability Coefficient
- Relative Standard Deviation
- Regression Intercept Confidence Interval
- Rayleigh Distribution
- Range Rule of Thumb
- Quartile Deviation
- Qualitative Data Vs Quantitative Data
- Quadratic Regression Equation
- Process Sigma
- Process Capability (Cp) & Process Performance (Pp)
- Probability Density Function
- Probability Bayes Theorem
- Probability Multiplecative Theorem
- Probability Additive Theorem
- Probability
- Power Calculator
- Pooled Variance (r)
- Poisson Distribution
- Pie Chart
- Permutation with Replacement
- Permutation
- Outlier Function
- One Proportion Z Test
- Odd and Even Permutation
- Normal Distribution
- Negative Binomial Distribution
- Multinomial Distribution
- Means Difference
- Mean Deviation
- Mcnemar Test
- Logistic Regression
- Log Gamma Distribution
- Linear regression
- Laplace Distribution
- Kurtosis
- Kolmogorov Smirnov Test
- Inverse Gamma Distribution
- Interval Estimation
- Individual Series Arithmetic Mode
- Individual Series Arithmetic Median
- Individual Series Arithmetic Mean
- Hypothesis testing
- Hypergeometric Distribution
- Histograms
- Harmonic Resonance Frequency
- Harmonic Number
- Harmonic Mean
- Gumbel Distribution
- Grand Mean
- Goodness of Fit
- Geometric Probability Distribution
- Geometric Mean
- Gamma Distribution
- Frequency Distribution
- Factorial
- F Test Table
- F distribution
- Exponential distribution
- Dot Plot
- Discrete Series Arithmetic Mode
- Discrete Series Arithmetic Median
- Discrete Series Arithmetic Mean
- Deciles Statistics
- Data Patterns
- Data collection - Case Study Method
- Data collection - Observation
- Data collection - Questionaire Designing
- Data collection
- Cumulative Poisson Distribution
- Cumulative plots
- Correlation Co-efficient
- Co-efficient of Variation
- Cumulative Frequency
- Continuous Series Arithmetic Mode
- Continuous Series Arithmetic Median
- Continuous Series Arithmetic Mean
- Continuous Uniform Distribution
- Comparing plots
- Combination with replacement
- Combination
- Cluster sampling
- Circular Permutation
- Chi Squared table
- Chi-squared Distribution
- Central limit theorem
- Boxplots
- Black-Scholes model
- Binomial Distribution
- Beta Distribution
- Best Point Estimation
- Bar Graph
- Arithmetic Range
- Arithmetic Mode
- Arithmetic Median
- Arithmetic Mean
- Analysis of Variance
- Adjusted R-Squared
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Statistics - Notations
Following table shows the usage of various symbols used in Statistics
Capitapzation
Generally lower case letters represent the sample attributes and capital case letters are used to represent population attributes.
$ P $ - population proportion.
$ p $ - sample proportion.
$ X $ - set of population elements.
$ x $ - set of sample elements.
$ N $ - set of population size.
$ N $ - set of sample size.
Greek Vs Roman letters
Roman letters represent the sample attributs and greek letters are used to represent Population attributes.
$ mu $ - population mean.
$ ar x $ - sample mean.
$ delta $ - standard deviation of a population.
$ s $ - standard deviation of a sample.
Population specific Parameters
Following symbols represent population specific attributes.
$ mu $ - population mean.
$ delta $ - standard deviation of a population.
$ {mu}^2 $ - variance of a population.
$ P $ - proportion of population elements having a particular attribute.
$ Q $ - proportion of population elements having no particular attribute.
$ ho $ - population correlation coefficient based on all of the elements from a population.
$ N $ - number of elements in a population.
Sample specific Parameters
Following symbols represent population specific attributes.
$ ar x $ - sample mean.
$ s $ - standard deviation of a sample.
$ {s}^2 $ - variance of a sample.
$ p $ - proportion of sample elements having a particular attribute.
$ q $ - proportion of sample elements having no particular attribute.
$ r $ - population correlation coefficient based on all of the elements from a sample.
$ n $ - number of elements in a sample.
Linear Regression
$ B_0 $ - intercept constant in a population regression pne.
$ B_1 $ - regression coefficient in a population regression pne.
$ {R}^2 $ - coefficient of determination.
$ b_0 $ - intercept constant in a sample regression pne.
$ b_1 $ - regression coefficient in a sample regression pne.
$ ^{s}b_1 $ - standard error of the slope of a regression pne.
Probabipty
$ P(A) $ - probabipty that event A will occur.
$ P(A|B) $ - conditional probabipty that event A occurs, given that event B has occurred.
$ P(A ) $ - probabipty of the complement of event A.
$ P(A cap B) $ - probabipty of the intersection of events A and B.
$ P(A cup B) $ - probabipty of the union of events A and B.
$ E(X) $ - expected value of random variable X.
$ b(x; n, P) $ - binomial probabipty.
$ b*(x; n, P) $ - negative binomial probabipty.
$ g(x; P) $ - geometric probabipty.
$ h(x; N, n, k) $ - hypergeometric probabipty.
Permutation/Combination
$ n! $ - factorial value of n.
$ ^{n}P_r $ - number of permutations of n things taken r at a time.
$ ^{n}C_r $ - number of combinations of n things taken r at a time.
Set
$ A Cap B $ - intersection of set A and B.
$ A Cup B $ - union of set A and B.
$ { A, B, C } $ - set of elements consisting of A, B, and C.
$ emptyset $ - null or empty set.
Hypothesis Testing
$ H_0 $ - null hypothesis.
$ H_1 $ - alternative hypothesis.
$ alpha $ - significance level.
$ eta $ - probabipty of committing a Type II error.
Random Variables
$ Z $ or $ z $ - standardized score, also known as a z score.
$ z_{alpha} $ - standardized score that has a cumulative probabipty equal to $ 1 - alpha $.
$ t_{alpha} $ - t statistic that has a cumulative probabipty equal to $ 1 - alpha $.
$ f_{alpha} $ - f statistic that has a cumulative probabipty equal to $ 1 - alpha $.
$ f_{alpha}(v_1, v_2) $ - f statistic that has a cumulative probabipty equal to $ 1 - alpha $ and $ v_1 $ and $ v_2 $ degrees of freedom.
$ X^2 $ - chi-square statistic.
Summation Symbols
$ sum $ - summation symbol, used to compute sums over a range of values.
$ sum x $ or $ sum x_i $ - sum of a set of n observations. Thus, $ sum x = x_1 + x_2 + ... + x_n $.