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  2. X-bar chart - Wikipedia

    en.wikipedia.org/wiki/X-bar_chart

    The X-bar chart is always used in conjunction with a variation chart such as the ¯ and R chart or ¯ and s chart. The R-chart shows sample ranges (difference between the largest and the smallest values in the sample), while the s-chart shows the samples' standard deviation. The R-chart was preferred in times when calculations were performed ...

  3. x̅ and R chart - Wikipedia

    en.wikipedia.org/wiki/X̅_and_R_chart

    R = x max - x min. The normal distribution is the basis for the charts and requires the following assumptions: The quality characteristic to be monitored is adequately modeled by a normally distributed random variable; The parameters μ and σ for the random variable are the same for each unit and each unit is independent of its predecessors or ...

  4. Function of several real variables - Wikipedia

    en.wikipedia.org/wiki/Function_of_several_real...

    The implicit function theorem of more than two real variables deals with the continuity and differentiability of the function, as follows. [4] Let ϕ(x 1, x 2, …, x n) be a continuous function with continuous first order partial derivatives, and let ϕ evaluated at a point (a, b) = (a 1, a 2, …, a n, b) be zero:

  5. Bivariate analysis - Wikipedia

    en.wikipedia.org/wiki/Bivariate_analysis

    Graphs that are appropriate for bivariate analysis depend on the type of variable. For two continuous variables, a scatterplot is a common graph. When one variable is categorical and the other continuous, a box plot is common and when both are categorical a mosaic plot is common. These graphs are part of descriptive statistics.

  6. Bar chart - Wikipedia

    en.wikipedia.org/wiki/Bar_chart

    A bar graph shows comparisons among discrete categories. One axis of the chart shows the specific categories being compared, and the other axis represents a measured value. Some bar graphs present bars clustered or stacked in groups of more than one, showing the values of more than one measured variable.

  7. x̅ and s chart - Wikipedia

    en.wikipedia.org/wiki/X̅_and_s_chart

    The sample size is variable; Computers can be used to ease the burden of calculation; The "chart" actually consists of a pair of charts: One to monitor the process standard deviation and another to monitor the process mean, as is done with the ¯ and R and individuals control charts.

  8. X bar - Wikipedia

    en.wikipedia.org/wiki/X_bar

    X bar, x̄ (or X̄) or X-bar may refer to: X-bar theory, a component of linguistic theory; Arithmetic mean, a commonly used type of average; An X-bar, a rollover ...

  9. Multiple zeta function - Wikipedia

    en.wikipedia.org/wiki/Multiple_zeta_function

    Like the Riemann zeta function, the multiple zeta functions can be analytically continued to be meromorphic functions (see, for example, Zhao (1999)). When s 1, ..., s k are all positive integers (with s 1 > 1) these sums are often called multiple zeta values (MZVs) or Euler sums. These values can also be regarded as special values of the ...