entry box. The value and probability input range is a table consisting of two columns and any number of rows. The first column specifies the discrete random values and the second column the probabilities for them. The discrete random values do not have to be numbers, for example, strings will do as well. The sum of the probabilities in the second column should be one. For example, if you have the values A, B, C, and D in A1:A4 and values 0.1, 0.4, 0.2, and 0.3 in B1:B4, you would specify the value and probability input range to be A1:B4.Value and Probability Input Range:

entry. Lambda is the average number of events in a unit time interval.Lambda

entry.b Value

entry and the number of trials (p Value

entry. The Binomial distribution is a discrete distribution in which the experiment consists ofNumber of Trials

entry and the number of failuresp Value

entry. Negative Binomial distribution is a discrete distribution in which the experiment consists of a sequence of independent trials. Each trial has two possible outcomes, a success or a failure. The probability of successNumber of Failures

entry.p Value

andBetween:

entries. The default values for these entries are 0 and 1.And:

entry on the `Options' Page. This determines the number of columns of random values to be produced.Number of Variables:

entry on the same page. This determines the number of rows of random values to be produced.Size of Sample:

C2

would indicate a selection area 15 rows high by 6 columns wide. Once the mouse is released at the end of the selection, the current cell indicator goes back to giving the address of the single top leftmost cell.15R x 6C

you must also enter a single range in the entry field.Output Range

entry. The input range can consist of either a single range or a comma separated list of ranges. The given range or ranges can be grouped by columns, by rows, or by areas.Input Range:

option should be selected.Labels

entry by typing this directly into the entry or clicking in the entry field and then selecting that range on the sheet. In the latter case the entry will also contain the sheet name.Input Range:

radio button next toColumns

, since each variable is in its own column.Grouped By:

option since the first row contains labels. (seeLabels

entry. The input range can consist of either a single range or a comma separated list of ranges. The given range or ranges can be grouped by columns, by rows, or by areas.Input Range:

option should be selected.Labels

entry by typing this directly into the entry or clicking in the entry field and then selecting that range on the sheet. In the latter case the entry will also contain the sheet name.Input Range:

radio button next toColumns

, since each variable is in its own column.Grouped By:

option since the first row contains labels.Labels

entry. The given range or list of ranges can be grouped into variables by columns, rows, or areas.Input Range:

option is selected, this tool calculates the mean, standard error, median, mode, standard deviation, sample variance, kurtosis, skewness, range, minimum, maximum, sum, and count for each variable.Summary Statistics

option is selected, the tool calculates confidence intervals for the population mean of each variable. Specify the confidence level in the entry box. The default confidence level is 95%.Confidence Interval for the Mean

option is selected, the tool finds theKth Largest:

option is selected, the tool finds theKth Smallest:

option.Labels

tab shown inInput

entry contains a single range or a list of ranges, that can be grouped into variables by rows, columns, or areas.Input Range

option should be selected. If the input is grouped by areas and the top left cell contains a label, the other cells in the first row are being ignored.Labels

tab permits the specification of a range that contains the possible values that are supposed to be counted in the input range.Categories

option is disabled since it is not yet implemented.automatic categories

tab allows various options to be set. In the top half of the tab you can choose whether you would like a graph to be created. If you choose to have a graph created you can specify whether you would like to see a bar chart or a column chart.Graphs & Options

option. This option replaces the frequency counts with percentages.percentages

checkbox determines how category values and input range values are compared. If it is checked then the functionUse exact comparisons

bins. The tool determines how many data points belong to each bin and presents this number numerically as well as graphically.

tab shown inInput

entry contains a single range or a list of ranges, that can be grouped into variables by rows, columns, or areas.Input Range

option should be selected. If the input is grouped by areas and the top left cell contains a label, the other cells in the first row are being ignored.Labels

tab.Bins

option to specify data on your worksheet in thePredetermined Cutoffs

entry. The values in this range will be used as cutoffsCutoff Range:

option to have the cutoffs determined by the tool. Enter the desired number of cutoffs in theCalculated Cutoffs

entry. It is strongly recommended (but optional) that you specify the minimum and maximum cutoffs in theNumber of Cutoffs

andMinimum cutoff

entries. If the minimum or maximum cutoff is not specified, the tool will use the minimum and/or maximum of the current data.Maximum cutoff

indicates that the first bin starts at the first cutoff while the last bin ends at ∞. Moreover, each cutoff value belongs to the bin on its right.[∙,∙),[∙,∙),⋯, [∙,∙),[∙,∞)

option causes the chart to be omitted.No chart

option causes a bar chart to be added to the histogram. For each bin, the bar chart shows a horizontal bar indicating the frequency.Bar chart

option causes a column chart to be added to the histogram. For each bin, the column chart shows a vertical bar indicating the frequency.Column chart

option causes a histogram chart to be added to the histogram. For each bin, the histogram chart shows a vertical bar indicating the density (that is the frequency divided by the width of the bin).Histogram chart

option causes the frequencies to be expressed as percentages.Percentages

option causes a cumulative frequency table (either with counts or with pecentages) to be created.Cumulative answers

option determines whether only numbers are counted. If also non-numbers are counted they are first converted into numbers, usually into 0.Count numbers only

entry of theInput Range:

tab by typing this directly into the entry or clicking in the entry field and then selecting that range on the sheet. In the latter case the entry may also contain the sheet name.Input

orAreas

radio button next toColumns

.Grouped By:

option since the first cell of the Input Range contains a label.Labels

entry of theCutoff Range:

tab. TheCutoffs

option will now also be selected (seePredetermined Cutoffs

tab select the second option since we want to add two bins reaching to ∓∞ and we want to count each cutoff value in the bin to its right (seeBins

option of thePercentage

tab to have the frequencies expressed as percentages.Graphs &Options

option of theColumn Chart

tab to have a column chart added to the histogram (seeGraphs &Options

tab, specify the output options as described inOutput

entry. The given range can be grouped into datasets by columns, by rows, or by areas.Input Range:

option.Labels

entry. The range or ranges given can be grouped into datasets by rows, by columns, or by areas.Input Range:

option.Labels

entry.Size of Sample:

entry.Period:

entry.Number of Samples:

page.Input

entry. The entered range or ranges are grouped into datasets either by rows or by columns.Input Range

option.Labels

option, &gnum; will also create a chart showing both the data and corresponding smoothed values.Include chart

.Damping factor

check box. The formula used is given inStandard error

means that the denominator will ben−1

check box, a line graph showing the observationsInclude chart

.Damping factor

check box. The formula used is given inStandard error

check box, a line graph showing the observationsInclude chart

and γ is the value given asDamping factor

.Growth damping factor

check box. The formula used is given inStandard error

check box, a line graph showing the observationsInclude chart

, γ is the value given asDamping factor

and δ is the value given asGrowth damping factor

.Seasonal damping factor

. If your data consist of monthly values, thenSeasonal period

check box. The formula used is given inStandard error

check box, a line graph showing the observationsInclude chart

, γ is the value given asDamping factor

and δ is the value given asGrowth damping factor

.Seasonal damping factor

. If your data consist of monthly values, thenSeasonal period

check box. The formula used is given inStandard error

check box, a line graph showing the observationsInclude chart

entry. The entered range or ranges are grouped into datasets either by rows or by columns.Input Range

option.Labels

for the moving average. The intervalInterval

checkbox if you would also like the standard error to be calculated. Since there is no general agreement on the denominator for the standard error you can choose the appropriate radio button.Standard errors

: Each average takes into account the current observation and the most recent prior observations for a total ofPrior moving average

withCentral moving average

withCentral moving average

: If the offset is 0, this is just the prior moving average. Otherwise the offset indicates the number of closest future observations to include in the average. Correspondingly, the number of most recent past observations is decreased.Other offset

option to calculate the inverse discrete fourier transform fInverse

entry. The entered range or ranges are grouped into sequences either by rows or by columns.Input Range

option.Labels

tab shown inInput

entry. The entered range or ranges are grouped into the factors either by rows or by columns.Input Range

option.Labels

entry by typing this directly into the entry or clicking in the entry field and then selecting the range on the sheet.Input Range:

option since the first row contains labels. (seeLabels

entry.X Variables:

entry.Y Variable:

option.Labels

entry. The default is 95%.Confidence Level:

option.Force Intercept To Be Zero

entry by typing this directly into the entry or clicking in the entry field and then selecting the range on the sheet.X Variables:

entry.Y Variable:

option since the first row contains labels. (seeLabels

entry (seeInput Range:

entry by typing this directly into the entry or clicking in the entry field and then selecting the range on the sheet.Input Range:

option since the first row contains a label. (seeLabels

option to include a normal probability plot in the output.Create Normal Probability Plot

entry (seeInput Range:

tab of the dialog (seeTest

entry by typing this directly into the entry or clicking in the entry field and then selecting the range on the sheet.Input Range:

option since the first row contains a label. (seeLabels

tab of the dialog (seeTest

entry.Predicted Median

entry (seeInput Range:

tab of the dialog (seeTest

Input Range:

option since the first row contains a label. (seeLabels

tab of the dialog (seeTest

entry.Predicted Median

,Input

, andTest

frames are independent from the specific test.Output

entry and the second variable in theVariable 1 Range

entry.Variable 2 Range

entry, which has a default of 0. Enter the significance level in theHypothesized Mean Difference

entry, which has a default of 5 %.Alpha

versusPaired

Unpaired

option.Paired

versusKnown

Unknown

option if you in fact know the population variances prior to collecting the sample.Known

versusEqual

Unequal

option to assume that the population variances are equal.Equal

, &gnum; will test whether the mean of the difference between the paired variables is equal to the given hypothesized mean difference.OK

, &gnum; will test whether the mean of the difference between the paired variables is equal to the given hypothesized mean difference.OK

, &gnum; will test whether the mean of the difference between the paired variables is equal to the given hypothesized mean difference.OK

andVariable 1 Pop. Variance

entries. When you click onVariable 2 Pop. Variance

OK

andVariable 1 Range:

entries. TheVariable 2 Range:

entry contains the significance level which is by default 5%.Alpha:

option. The names of the variables will be included in the output table.Labels

row) is the probability of making a Type I error in the one-tailed test. Similarly, the two-tailed probability for the F-value (one-tail P(F≤f)

row) is the probability of making a Type I error in the two-tailed test. Since in the two-tailed F-Test both critical values are positive, theP two-tail

row contains two numbers.F Critical two-tail

entry. The given range can be grouped into the variables either by columns, by rows or by areas. TheInput Range:

entry specifies the significance level which is by default 5%.Alpha:

option. The names of the variables will be included in the output table.Labels

value is the largest value of F that is statistically significant using the given significance level (F critical

).Alpha

option should be selected.Labels

entry specifies the significance level which is by default 5%.Alpha:

value) are interpreted as levels of the second factor.number of rows per sample

option should be selected.Labels

entry specifies the significance level which is by default 5%.Alpha:

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