Module
Contents
Index 🔎︎

# Data Statistics in Calc

Använd datastistik i Calc för att utföra komplex datanalys

Om du arbetar med komplex statistik- eller utvecklingsanalys kan du spara in moment och tid genom att använda Datastatistiken i Calc. Du stoppar in data och parametrar för varje analys och de olika verktygen använder lämpliga statistik- och utvecklingsfunktioner för att beräkna och visa resultaten i en utmatningstabell.

## Stickprov

Skapa en tabell vars data är stickprov från en annan tabell

Så här använder du det här kommandot...

Choose Data - Statistics - Sampling

Stickprov ger dig möjlighet att plocka data från en källtabell för att fylla en måltabell. Stickprov kan vara slumpvis eller periodisk.

Stickprovet görs radvis. Det betyder att stickprovet hämtar en hel rad i källtabellen och kopierar den till en rad i måltabellen.

### Data

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.

### Stickprovsmetod

Slumpvis: Plockar slumpvis exakt Stickprovsstorlek rader från källtabellen.

Stickprovsstorlek: Antal rader valda från källtabellen.

Periodisk: Väljer rader med ett intervall bestämt av Period.

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

### Exempel

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

## Descriptive Statistics

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

Så här använder du det här kommandot...

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.

### Data

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.

### Grouped By

Select whether the input data has columns or rows layout.

### Exempel

The following data will be used as example

| 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.

| Kolumn 1 | Kolumn 2 | Kolumn 3
Medelvärde | 41.9090909091 | 59.7 | 44.7
Standardfel | 3.5610380138 | 5.3583786934 | 4.7680650629
Mer | 47 | 49 | 60
Median | 40 | 64.5 | 43.5
Varians | 139.4909090909 | 287.1222222222 | 227.3444444444
Standardavvikelse | 11.8106269559 | 16.944681237 | 15.0779456308
Kurtosis | -1.4621677981 | -0.9415988746 | 1.418052719
Skewness | 0.0152409533 | -0.2226426904 | -0.9766803373
Område | 31 | 51 | 50
Minimum | 26 | 33 | 12
Maximum | 57 | 84 | 62
Sum | 461 | 597 | 447
Antal | 11 | 10 | 10

## Analysis of Variance (ANOVA)

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

Så här använder du det här kommandot...

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.

### Data

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.

### Grouped By

Select whether the input data has columns or rows layout.

### Type

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

### Parametrar

Alpha: the level of significance of the test.

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

### Exempel

The following data will be used as example

| 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 |  |  |  |
Gruppera | Count | Sum | Medelvärde | Varians |
Kolumn | 11 | 461 | 41.9090909091 | 139.4909090909 |
Kolumn | 10 | 597 | 59.7 | 287.1222222222 |
Kolumn | 10 | 447 | 44.7 | 227.3444444444 |
Source of Variation | SS | df | MS | F | P-value
Between Groups | 1876.5683284457 | 2 | 938.2841642229 | 4.3604117704 | 0.0224614952
Within Groups | 6025.1090909091 | 28 | 215.1824675325 |  |
Total | 7901.6774193548 | 30 |  |  |

## Correlation

Calculates the correlation of two sets of numeric data.

Så här använder du det här kommandot...

Meny Data - Statistik - Stickprov...

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.

### Data

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.

### Grouped By

Select whether the input data has columns or rows layout.

### Exempel

The following data will be used as example

| 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 correlation of the sample data above.

Correlations | Kolumn 1 | Kolumn 2 | Kolumn 3
Kolumn 1 | 1 |  |
Kolumn 2 | -0.4029254917 | 1 |
Kolumn 3 | -0.2107642836 | 0.2309714048 | 1

## Kovarians

Beräknar kovariansen för två numeriska datamängder.

Så här använder du det här kommandot...

Meny Data - Statistik - Stickprov...

Kovariansen är ett mått på samvariationen mellan två slumpvariabler.

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

### Data

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.

### Grouped By

Select whether the input data has columns or rows layout.

### Exempel

The following data will be used as example

| 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 |  |

Följande tabell visar kovariansen för ovanstående data.

Kovarianser | Kolumn 1 | Kolumn 2 | Kolumn 3
Kolumn 1 | 126.8099173554 |  |
Kolumn 2 | -61.4444444444 | 258.41 |
Kolumn 3 | -32 | 53.11 | 204.61

## Exponentiell utjämning

Ger en utjämnad dataserie

Så här använder du det här kommandot...

Choose Data - Statistics - Exponential Smoothing

Exponentiell utjämning är en filtreringsteknik som ger ett utjämnat resultat om det används på en datamängd. Det används inom många områden som t.ex. aktiemarknad, ekonomi och stickprovsmätningar.

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

### Data

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.

### Grouped By

Select whether the input data has columns or rows layout.

### Parametrar

Utjämningsfaktor: En parameter mellan 0 och 1 som representerar dämpningsfaktorn Alfa i utjämningsekvationen.

### Exempel

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

Resultatet av utjämning med utjämningsfaktorn 0,5 är som följer:

Alpha |
0.5 |
Kolumn 1 | Kolumn 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

## Moving Average

Calculates the moving average of a time series

Så här använder du det här kommandot...

Meny Data - Statistik - Stickprov...

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

### Data

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.

### Grouped By

Select whether the input data has columns or rows layout.

### Parametrar

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

### Exempel

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

### Results of the moving average:

Kolumn 1 | Kolumn 2
#SAKNAS | #SAKNAS
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
#SAKNAS | #SAKNAS

## Paired t-test

Calculates the paired t-Test of two data samples.

Så här använder du det här kommandot...

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.

### Data

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.

### Grouped By

Select whether the input data has columns or rows layout.

### Exempel

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 |  |
Alpha | 0.05 |
Hypothesized Mean Difference | 0 |
| Variable 1 | Variable 2
Medelvärde | 16.9230769231 | 20.4615384615
Varians | 125.0769230769 | 94.4358974359
Observations | 13 | 13
Pearson Correlation | -0.0617539772 |
Observed Mean Difference | -3.5384615385 |
Variance of the Differences | 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.

Så här använder du det här kommandot...

Meny Data - Statistik - Stickprov...

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.

### Data

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.

### Grouped By

Select whether the input data has columns or rows layout.

### Exempel

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 |  |
Alpha | 0.05 |
| Variable 1 | Variable 2
Medelvärde | 16.9230769231 | 20.4615384615
Varians | 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.

Så här använder du det här kommandot...

Meny Data - Statistik - Stickprov...

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

### Data

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.

### Grouped By

Select whether the input data has columns or rows layout.

### Exempel

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 |  |
Alpha | 0.05 |
Hypothesized Mean Difference | 0 |
| Variable 1 | Variable 2
Known Variance | 0 | 0
Medelvärde | 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.

Så här använder du det här kommandot...

Choose Data - Statistics - Chi-square Test

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

### Data

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.

### Grouped By

Select whether the input data has columns or rows layout.

### Exempel

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) |
Alpha | 0.05
df | 12
P-value | 2.32567054678584E-014
Test Statistic | 91.6870055842
Critical Value | 21.0260698175

Närliggande ämnen

Regression Analysis