# Data Statistics in Calc

Use the data statistics in Calc to perform complex data analysis

To work on a complex statistical or engineering analysis, you can save steps and time by using Calc Data Statistics. You provide the data and parameters for each analysis, and the set of tools uses the appropriate statistical or engineering functions to calculate and display the results in an output table.

## Mostraxe

Create a table with data sampled from another table.

Para acceder a esta orde...

Choose Data - Statistics - Sampling

Sampling allows you to pick data from a source table to fill a target table. The sampling can be random or in a periodic basis.

Sampling is done row-wise. That means, the sampled data will pick the whole line of the source table and copy into a line of the target table.

### Datos

Input Range: The reference of the range of the data to analyze.

Results to: The reference of the top left cell of the range where the results will be displayed.

### Método de mostraxe

Random: Picks exactly Sample Size lines of the source table in a random way.

Sample size: Number of lines sampled from the source table.

Periodic: Picks lines in a pace defined by Period.

Period: the number of lines to skip periodically when sampling.

#### Exemplo

Os datos seguintes serán usados como exemplo de mostraxe dunha táboa de orixe:

 A B C 1 11 21 31 2 12 22 32 3 13 23 33 4 14 24 34 5 15 25 35 6 16 26 36 7 17 27 37 8 18 28 38 9 19 29 39

Sampling with a period of 2 will result in the following table:

 12 22 32 14 24 34 16 26 36 18 28 38

## Estatísticas descritivas

Fill a table in the spreadsheet with the main statistical properties of the data set.

Para acceder a esta orde...

Choose Data - Statistics - Descriptive Statistics

The Descriptive Statistics analysis tool generates a report of univariate statistics for data in the input range, providing information about the central tendency and variability of your data.

For more information on descriptive statistics, refer to the corresponding Wikipedia article.

### Datos

Input Range: The reference of the range of the data to analyze.

Results to: The reference of the top left cell of the range where the results will be displayed.

Select whether the input data has columns or rows layout.

#### Exemplo

Os datos seguintes serán usados como exemplo

 A B C 1 Maths Physics Biology 2 47 67 33 3 36 68 42 4 40 65 44 5 39 64 60 6 38 43 7 47 84 62 8 29 80 51 9 27 49 40 10 57 49 12 11 56 33 60 12 57 13 26

The following table displays the results of the descriptive statistics of the sample data above.

 Columna 1 Columna 2 Columna 3 Media 41.9090909091 59.7 44.7 Standard Error 3.5610380138 5.3583786934 4.7680650629 Modo 47 49 60 MEDIANA 40 64.5 43.5 Varianza 139.4909090909 287.1222222222 227.3444444444 Standard Deviation 11.8106269559 16.944681237 15.0779456308 Kurtosis -1.4621677981 -0.9415988746 1.418052719 Skewness 0.0152409533 -0.2226426904 -0.9766803373 Intervalo 31 51 50 Mínimo 26 33 12 Máximo 57 84 62 Suma 461 597 447 Conta 11 10 10

## Análise de varianza (ANOVA)

Produces the analysis of variance (ANOVA) of a given data set

Para acceder a esta orde...

Choose Data - Statistics - Analysis of Variance (ANOVA)

ANOVA is the acronym for ANalysis Of VAriance. This tool produces the analysis of variance of a given data set

### Datos

Input Range: The reference of the range of the data to analyze.

Results to: The reference of the top left cell of the range where the results will be displayed.

Select whether the input data has columns or rows layout.

### Tipo

Select if the analysis is for a single factor or for two factor ANOVA.

### Parámetros

Alpha: the level of significance of the test.

Rows per sample: Define how many rows a sample has.

#### Exemplo

Os datos seguintes serán usados como exemplo

 A B C 1 Maths Physics Biology 2 47 67 33 3 36 68 42 4 40 65 44 5 39 64 60 6 38 43 7 47 84 62 8 29 80 51 9 27 49 40 10 57 49 12 11 56 33 60 12 57 13 26

The following table displays the results of the analysis of variance (ANOVA) of the sample data above.

 ANOVA - Single Factor Alfa: 0.05 Grupos Conta Suma Media Varianza Columna 1 11 461 41.9090909091 139.4909090909 Columna 2 10 597 59.7 287.1222222222 Columna 3 10 447 44.7 227.3444444444 Source of Variation SS df ms F P-value F-critical Entre grupos 1876.5683284457 2 938.2841642229 4.3604117704 0.0224614952 3.340385558 Dentro de grupos 6025.1090909091 28 215.1824675325 Total 7901.6774193548 30

## Correlación

Calcula a correlación entre dous conxuntos de datos numéricos.

Para acceder a esta orde...

Escolla Datos - Estatísticas - Correlación

O coeficiente de correlación (un valor entre -1 e +1) indica a forza coa que se relacionan dúas variábeis entre si. Pódese empregar a función CORREL ou Estatísticas de datos para atopar o coeficiente de correlación entre dúas variábeis.

Un coeficiente de correlación de +1 indica unha correlación positiva perfecta.

Un coeficiente de correlación de -1 indica unha correlación negativa perfecta

For more information on statistical correlation, refer to the corresponding Wikipedia article.

### Datos

Input Range: The reference of the range of the data to analyze.

Results to: The reference of the top left cell of the range where the results will be displayed.

Select whether the input data has columns or rows layout.

#### Exemplo

Os datos seguintes serán usados como exemplo

 A B C 1 Maths Physics Biology 2 47 67 33 3 36 68 42 4 40 65 44 5 39 64 60 6 38 43 7 47 84 62 8 29 80 51 9 27 49 40 10 57 49 12 11 56 33 60 12 57 13 26

A táboa seguinte mostra os resultados da correlación dos datos de exemplo anteriores.

 Correlación Columna 1 Columna 2 Columna 3 Columna 1 1 Columna 2 -0.4029254917 1 Columna 3 -0.2107642836 0.2309714048 1

## Covarianza

Calcula a covarianza de dous conxuntos de datos numéricos.

Para acceder a esta orde...

Escolla Datos - Estatísticas - Covarianza

A covarianza é unha medida de canto cambian xuntas dúas variábeis aleatorias.

For more information on statistical covariance, refer to the corresponding Wikipedia article.

### Datos

Input Range: The reference of the range of the data to analyze.

Results to: The reference of the top left cell of the range where the results will be displayed.

Select whether the input data has columns or rows layout.

#### Exemplo

Os datos seguintes serán usados como exemplo

 A B C 1 Maths Physics Biology 2 47 67 33 3 36 68 42 4 40 65 44 5 39 64 60 6 38 43 7 47 84 62 8 29 80 51 9 27 49 40 10 57 49 12 11 56 33 60 12 57 13 26

A táboa seguinte mostra os resultados da covarianza dos datos de exemplo anteriores.

 Covarianza Columna 1 Columna 2 Columna 3 Columna 1 126.8099173554 Columna 2 -61.4444444444 258.41 Columna 3 -32 53.11 204.61

Para acceder a esta orde...

Escolla Datos - Estatísticas - Suavizado exponencial

O suavizado exponencial é unha técnica de filtrado que produce resultados suavizados ao ser aplicada a un conxuntos de datos. Emprégase en moitos dominios, como no mercado de valores, na economía e en medidas de mostras.

For more information on exponential smoothing, refer to the corresponding Wikipedia article.

### Datos

Input Range: The reference of the range of the data to analyze.

Results to: The reference of the top left cell of the range where the results will be displayed.

Select whether the input data has columns or rows layout.

### Parámetros

Smoothing Factor: A parameter between 0 and 1 that represents the damping factor Alpha in the smoothing equation.

#### Exemplo

The following table has two time series, one representing an impulse function at time t=0 and the other an impulse function at time t=2.

 A B 1 1 0 2 0 0 3 0 1 4 0 0 5 0 0 6 0 0 7 0 0 8 0 0 9 0 0 10 0 0 11 0 0 12 0 0 13 0 0

 Alfa: 0.5 Columna 1 Columna 2 1 0 1 0 0.5 0 0.25 0.5 0.125 0.25 0.0625 0.125 0.03125 0.0625 0.015625 0.03125 0.0078125 0.015625 0.00390625 0.0078125 0.001953125 0.00390625 0.0009765625 0.001953125 0.0004882813 0.0009765625 0.0002441406 0.0004882813

## Media móbil

Calcula a media móbil dunha serie temporal

Para acceder a esta orde...

Escolla Datos - Estatísticas - Media móbil

For more information on the moving average, refer to the corresponding Wikipedia article.

### Datos

Input Range: The reference of the range of the data to analyze.

Results to: The reference of the top left cell of the range where the results will be displayed.

Select whether the input data has columns or rows layout.

### Parámetros

Intervalo: O número de mostras empregado no cálculo da media móbil.

#### Exemplo

The following table has two time series, one representing an impulse function at time t=0 and the other an impulse function at time t=2.

 A B 1 1 0 2 0 0 3 0 1 4 0 0 5 0 0 6 0 0 7 0 0 8 0 0 9 0 0 10 0 0 11 0 0 12 0 0 13 0 0

 Columna 1 Columna 2 #N/A #N/A 0.3333333333 0.3333333333 0 0.3333333333 0 0.3333333333 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 #N/A #N/A

## Paired t-test

Calculates the paired t-Test of two data samples.

Para acceder a esta orde...

Choose Data - Statistics - Paired t-test

A paired t-test is any statistical hypothesis test that follows a Student's t distribution.

For more information on paired t-tests, refer to the corresponding Wikipedia article.

### Datos

Variable 1 range: The reference of the range of the first data series to analyze.

Variable 2 range: The reference of the range of the second data series to analyze.

Results to: The reference of the top left cell of the range where the test will be displayed.

Select whether the input data has columns or rows layout.

#### Exemplo

The following table has two data sets.

 A B 1 28 19 2 26 13 3 31 12 4 23 5 5 20 34 6 27 31 7 28 31 8 14 12 9 4 24 10 0 23 11 2 19 12 8 10 13 9 33

### Results for paired t-test:

The following table shows the paired t-test for the data series above:

 paired t-test Alfa: 0.05 Hypothesized Mean Difference 0 Variábel 1 Variábel 2 Media 16.9230769231 20.4615384615 Varianza 125.0769230769 94.4358974359 Observations 13 13 Pearson Correlation -0.0617539772 Observed Mean Difference -3.5384615385 Varianza das diferenzas 232.9358974359 df 12 t Stat -0.8359262137 P (T<=t) one-tail 0.2097651442 t Critical one-tail 1.7822875556 P (T<=t) two-tail 0.4195302884 t Critical two-tail 2.1788128297

## F-test

Calculates the F-Test of two data samples.

Para acceder a esta orde...

Choose Data - Statistics - F-test

A F-test is any statistical test based on the F-distribution under the null hypothesis.

### Datos

Variable 1 range: The reference of the range of the first data series to analyze.

Variable 2 range: The reference of the range of the second data series to analyze.

Results to: The reference of the top left cell of the range where the test will be displayed.

Select whether the input data has columns or rows layout.

#### Exemplo

The following table has two data sets.

 A B 1 28 19 2 26 13 3 31 12 4 23 5 5 20 34 6 27 31 7 28 31 8 14 12 9 4 24 10 0 23 11 2 19 12 8 10 13 9 33

### Results for F-Test:

The following table shows the F-Test for the data series above:

 Ftest Alfa: 0.05 Variábel 1 Variábel 2 Media 16.9230769231 20.4615384615 Varianza 125.0769230769 94.4358974359 Observations 13 13 df 12 12 F 1.3244637524 P (F<=f) right-tail 0.3170614146 F Critical right-tail 2.6866371125 P (F<=f) left-tail 0.6829385854 F Critical left-tail 0.3722125312 P two-tail 0.6341228293 F Critical two-tail 0.3051313549 3.277277094

## Z-test

Calculates the z-Test of two data samples.

Para acceder a esta orde...

Choose Data - Statistics - Z-test

### Datos

Variable 1 range: The reference of the range of the first data series to analyze.

Variable 2 range: The reference of the range of the second data series to analyze.

Results to: The reference of the top left cell of the range where the test will be displayed.

Select whether the input data has columns or rows layout.

#### Exemplo

The following table has two data sets.

 A B 1 28 19 2 26 13 3 31 12 4 23 5 5 20 34 6 27 31 7 28 31 8 14 12 9 4 24 10 0 23 11 2 19 12 8 10 13 9 33

### Results for z-Test:

The following table shows the z-Test for the data series above:

 z-test Alfa: 0.05 Hypothesized Mean Difference 0 Variábel 1 Variábel 2 Known Variance 0 0 Media 16.9230769231 20.4615384615 Observations 13 13 Observed Mean Difference -3.5384615385 z #DIV/0! P (Z<=z) one-tail #DIV/0! z Critical one-tail 1.644853627 P (Z<=z) two-tail #DIV/0! z Critical two-tail 1.9599639845

## Chi-square test

Calculates the Chi-square test of a data sample.

Para acceder a esta orde...

Choose Data - Statistics - Chi-square Test

For more information on chi-square tests, refer to the corresponding Wikipedia article.

### Datos

Input Range: The reference of the range of the data to analyze.

Results to: The reference of the top left cell of the range where the results will be displayed.

Select whether the input data has columns or rows layout.

#### Exemplo

The following table has two data sets.

 A B 1 28 19 2 26 13 3 31 12 4 23 5 5 20 34 6 27 31 7 28 31 8 14 12 9 4 24 10 0 23 11 2 19 12 8 10 13 9 33

### Results for Chi-square Test:

 Test of Independence (Chi-Square) Alfa: 0.05 df 12 P-value 2.32567054678584E-014 Test Statistic 91.6870055842 Critical Value 21.0260698175

Precisamos da súa axuda!