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# Datu statistika iekš 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.

## Iztvērums

Create a table with data sampled from another table.

Lai piekļūtu šai komandai...

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.

### Dati

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.

### Izlases ieguves metode

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.

### Piemērs

The following data will be used as example of source data table for sampling:

| 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

## Aprakstošā statistika

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

Lai piekļūtu šai komandai...

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.

### Dati

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.

### Grupēts pēc

Select whether the input data has columns or rows layout.

### Piemērs

Sekojošie dati tiks lietoti kā piemērs

| A | B | C
1 | Matemātika | Fizika | Bioloģija
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.

| Kolonna 1 | Kolonna 2 | Kolonna 3
Vidējais | 41.9090909091 | 59.7 | 44.7
Standartkļūda | 3.5610380138 | 5.3583786934 | 4.7680650629
Režīms | 47 | 49 | 60
Mediāna | 40 | 64.5 | 43.5
Dispersija | 139.4909090909 | 287.1222222222 | 227.3444444444
Standartnovirze | 11.8106269559 | 16.944681237 | 15.0779456308
Ekscesa koeficients | -1.4621677981 | -0.9415988746 | 1.418052719
Asimetrija | 0.0152409533 | -0.2226426904 | -0.9766803373
Diapazons | 31 | 51 | 50
Minimums | 26 | 33 | 12
Maksimums | 57 | 84 | 62
Summa | 461 | 597 | 447
Skaits | 11 | 10 | 10

## Dispersijas analīze (ANOVA)

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

Lai piekļūtu šai komandai...

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

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

### Dati

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.

### Grupēts pēc

Select whether the input data has columns or rows layout.

### Tips

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

### Parametri

Alpha: the level of significance of the test.

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

### Piemērs

Sekojošie dati tiks lietoti kā piemērs

| A | B | C
1 | Matemātika | Fizika | Bioloģija
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 - viens koeficients |  |  |  |  |
Alfa | 0.05 |  |  |  |
Grupas | Skaits | Summa | Vidējais | Dispersija |
Kolonna 1 | 11 | 461 | 41.9090909091 | 139.4909090909 |
Kolonna 2 | 10 | 597 | 59.7 | 287.1222222222 |
Kolonna 3 | 10 | 447 | 44.7 | 227.3444444444 |
Avota variācija | SS | df | MS | F | P-vērtība
Starp grupām | 1876.5683284457 | 2 | 938.2841642229 | 4.3604117704 | 0.0224614952
Grupās | 6025.1090909091 | 28 | 215.1824675325 |  |
Pavisam | 7901.6774193548 | 30 |  |  |

## Korelācija

Calculates the correlation of two sets of numeric data.

Lai piekļūtu šai komandai...

Choose Data - Statistics - Correlation

The correlation coefficient (a value between -1 and +1) means how strongly two variables are related to each other. You can use the CORREL function or the Data Statistics to find the correlation coefficient between two variables.

A correlation coefficient of +1 indicates a perfect positive correlation.

A correlation coefficient of -1 indicates a perfect negative correlation

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

### Dati

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.

### Grupēts pēc

Select whether the input data has columns or rows layout.

### Piemērs

Sekojošie dati tiks lietoti kā piemērs

| A | B | C
1 | Matemātika | Fizika | Bioloģija
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 correlation of the sample data above.

Korelācijas | Kolonna 1 | Kolonna 2 | Kolonna 3
Kolonna 1 | 1 |  |
Kolonna 2 | -0.4029254917 | 1 |
Kolonna 3 | -0.2107642836 | 0.2309714048 | 1

## Kovariācija

Calculates the covariance of two sets of numeric data.

Lai piekļūtu šai komandai...

Choose Data - Statistics - Covariance

The covariance is a measure of how much two random variables change together.

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

### Dati

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.

### Grupēts pēc

Select whether the input data has columns or rows layout.

### Piemērs

Sekojošie dati tiks lietoti kā piemērs

| A | B | C
1 | Matemātika | Fizika | Bioloģija
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 covariance of the sample data above.

Kovariācijas | Kolonna 1 | Kolonna 2 | Kolonna 3
Kolonna 1 | 126.8099173554 |  |
Kolonna 2 | -61.4444444444 | 258.41 |
Kolonna 3 | -32 | 53.11 | 204.61

## Eksponenciālā gludināšana

Results in a smoothed data series

Lai piekļūtu šai komandai...

Choose Data - Statistics - Exponential Smoothing

Exponential smoothing is a filtering technique that when applied to a data set, produces smoothed results. It is employed in many domains such as stock market, economics and in sampled measurements.

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

### Dati

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.

### Grupēts pēc

Select whether the input data has columns or rows layout.

### Parametri

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

### Piemērs

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

The resulting smoothing is below with smoothing factor as 0.5:

Alfa |
0.5 |
Kolonna 1 | Kolonna 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

## Kustīgais vidējais

Calculates the moving average of a time series

Lai piekļūtu šai komandai...

Choose Data - Statistics - Moving Average

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

### Dati

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.

### Grupēts pēc

Select whether the input data has columns or rows layout.

### Parametri

Interval: The number of samples used in the moving average calculation.

### Piemērs

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

### Slīdošā vidējā rezultāti:

Kolonna 1 | Kolonna 2
#N/P | #N/P
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/P | #N/P

## Paired t-test

Calculates the paired t-Test of two data samples.

Lai piekļūtu šai komandai...

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.

### Dati

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.

### Grupēts pēc

Select whether the input data has columns or rows layout.

### Piemērs

Sekojošai tabulai ir divas datu kopas.

| 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 |
Minētā vidējā starpība | 0 |
| Mainīgais 1 | Mainīgais 2
Vidējais | 16.9230769231 | 20.4615384615
Dispersija | 125.0769230769 | 94.4358974359
Novērojumi | 13 | 13
Pīrsona korelācija | -0.0617539772 |
Novērotā vidējā starpība | -3.5384615385 |
Starpību variācija | 232.9358974359 |
df | 12 |
t Stat | -0.8359262137 |
P (T<=t) vienpusējs | 0.2097651442 |
t kritiskais vienpusējs | 1.7822875556 |
P (T<=t) divpusējs | 0.4195302884 |
t kritiskais divpusējs | 2.1788128297 |

## F-tests

Calculates the F-Test of two data samples.

Lai piekļūtu šai komandai...

Choose Data - Statistics - F-test

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

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

### Dati

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.

### Grupēts pēc

Select whether the input data has columns or rows layout.

### Piemērs

Sekojošai tabulai ir divas datu kopas.

| 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:

F-tests |  |
Alfa | 0.05 |
| Mainīgais 1 | Mainīgais 2
Vidējais | 16.9230769231 | 20.4615384615
Dispersija | 125.0769230769 | 94.4358974359
Novērojumi | 13 | 13
df | 12 | 12
F | 1.3244637524 |
P (F<=f) labā-aste | 0.3170614146 |
F kritiskā labā puse | 2.6866371125 |
P (F<=f) kreisā puse | 0.6829385854 |
F kritiskā kreisā puse | 0.3722125312 |
P divpusējs | 0.6341228293 |
F kritiskais divpusējs | 0.3051313549 | 3.277277094

## Z-tests

Calculates the z-Test of two data samples.

Lai piekļūtu šai komandai...

Choose Data - Statistics - Z-test

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

### Dati

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.

### Grupēts pēc

Select whether the input data has columns or rows layout.

### Piemērs

Sekojošai tabulai ir divas datu kopas.

| 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-tests |  |
Alfa | 0.05 |
Minētā vidējā starpība | 0 |
| Mainīgais 1 | Mainīgais 2
Zināmā dispersija | 0 | 0
Vidējais | 16.9230769231 | 20.4615384615
Novērojumi | 13 | 13
Novērotā vidējā starpība | -3.5384615385 |
z | #DIV/0! |
P (Z<=z) vienpusējai alternatīvai | #DIV/0! |
z kritiskā vērtība vienpusējai alternatīvai | 1.644853627 |
P (Z<=z) divpusējai alternatīvai | #DIV/0! |
z kritiskā vērtība divpusējai alternatīvai | 1.9599639845 |

## Hī kvadrāta tests

Calculates the Chi-square test of a data sample.

Lai piekļūtu šai komandai...

Choose Data - Statistics - Chi-square Test

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

### Dati

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

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

### Grupēts pēc

Select whether the input data has columns or rows layout.

### Piemērs

Sekojošai tabulai ir divas datu kopas.

| 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

### Rezultāti Hī kvadrāta testam:

Test of Independence (Chi-Square) |
Alfa | 0.05
df | 12
P-vērtība | 2.32567054678584E-014
Test Statistic | 91.6870055842
Kritiskā vērtība | 21.0260698175

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