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- BSTAT - Basic Statistics Calculator
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- 1. INTRODUCTION
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- This worksheet provides some basic statistical tools which
- can be used to quickly analyze up to 6 sets of data.
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- For each data range, the statistical results are displayed in
- the Results Block. These results include:
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- No. of Observations
- The number of observations for each data range is counted
- and displayed.
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- Maximum
- The maximum value in the data range.
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- Minimum
- The minimum value in the data range.
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- Range
- The range of values. i.e. the difference between the
- maximum and the minimum.
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- Mean (Average)
- The arithmetic mean or average obtained by adding up all the
- values in a data range, then dividing the total by the
- numbers of observations.
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- Standard Deviation
- The standard deviation is a measure of dispersion or
- "average difference" from the average value of a data range.
- The standard deviation in the Population Statistics section
- reflects the actual standard deviation in the data. The
- standard deviation in the Sample Statistics section
- represents a prediction about the estimated standard
- deviation of a much larger population, based on the
- assumption that the data contained in the data range is a
- representative sample from that larger, but unseen,
- population.
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- Variance
- The variance is the square of the standard deviation.
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- 2. USING BSTAT
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- The main menu of BSTAT offers you seven choices (plus Quit).
- They are as follows:
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- Input
- This option allows you to specify the maximum number of
- observations you will eventually enter. It then exits to
- "raw" 1-2-3 to allow you to input up to 6 data timeseries,
- either manually or using a file operation.
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- Blank
- You should choose this option if you have finished with the
- data in the worksheet and want to start again with an empty
- worksheet. Note that this option wipes out all calculated
- results as well as the raw data. (You must confirm this
- choice to reduce the risk of accidental erasure.)
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- Calc
- Make this choice when you want to calculate or recalculate
- the results. If you have changed data or entered more data
- since you last calculated, you must recalculate before
- displaying new results or graphs.
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- Results
- This option centers the Results Block on the screen for easy
- viewing of all statistical results for all 6 data ranges.
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- Graph
- This worksheet contains a comprehensive graphics capability
- which will allow you to define up to 42 distinct graphs.
- See the Graph Details section below for more information.
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- Print
- The print option sends the contents of the worksheet to the
- printer. The entire worksheet will be printed
- automatically.
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- Agenda
- If you select this option (and confirm it when requested),
- the current worksheet is lost and replaced by the main
- agenda. Then you can load another worksheet from the disk.
- Note confirmation is required before this option proceeds,
- because it will overwrite the worksheet in memory.
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- 2.1 Input Details
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- Input first asks you to "Enter Max. Number of Observations"
- which you expect to be working with. The worksheet requires this
- estimate in order to precondition itself before you enter the raw
- timeseries, either manually or by a file operation.
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- If you expect approximately 100 values to be entered you may
- specify the "...Max. Number of Observations" to be, say, 300.
- There is no need to be precise in answering this prompt as long as
- this number is larger than the total number of timeseries data
- points which you intend to enter.
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- After specifying the maximum number of observations, press
- the Enter key. There will be some activity on the screen and the
- leftmost column will be filled with numbers ranging from 1 to the
- maximum number which you specified. This is a handy feature to
- keep track of your position if you must enter many numbers
- manually. Later on, during the Calc operation, the leftmost
- column will be scaled again to match the actual number of
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- observations entered.
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- You will notice that the cursor is now positioned under the
- column labeled "Range 1". You will also be aware that the menu
- has disappeared from the top of the screen. You are now in "raw"
- 1-2-3 mode and are free to enter timeseries data in one or more of
- the Range columns. This can be done manually or using 1-2-3 file
- commands. There is no need for the number of observations in each
- range to be equal since the statistical results are calculated
- independently for each range.
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- The amount of data which you can enter is only limited by
- your computer's memory and 1-2-3's limit of about 2000 rows.
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- When you have finished entering data, simply use the Alt-M
- keystroke combination to bring back the main menu. Normally, your
- next action will be to choose the Calc option.
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- 2.2 Calc Details
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- Activating the Calc option results in a very busy looking
- screen as a number of important procedures are carried out by the
- worksheet. It is not necessary for you to be aware of these
- automatic operations but they are briefly described here for your
- information. First, the number of newly entered observations are
- counted and recorded in Row 9, and the numbers in the leftmost
- column are re-scaled to match the number of entries in the longest
- data range column. Next, various formulas are copied into the
- Results Block area. Finally, a sequence of ranging procedures is
- carried out in order to define graph ranges. This graph ranging
- is performed during the Calc operation in order to save
- considerable time later on during the Graph procedures.
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- When the Calc operation is completed, the main menu re
- appears at the top of the screen.
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- Following completion of the Calc procedure, the statistical
- results contained in the Results Block are ready for viewing. In
- addition, the Graph option may be used to visually investigate
- various combinations of data ranges.
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- 2.3 Graph Details
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- The Graph option first asks you to specify either a Color or
- a Black & White (Monochrome) monitor. Once this choice is made
- you are presented with the first of 8 graph menus which allow the
- selection of different combinations of the data ranges which are
- to be plotted. Refer to the menu tree map at the end of this
- section to see the options available. Also, note that except for
- the first graph selection menu, all subsequent menus have choices
- beginning with A, B, C, etc.. in order to allow the selection of
- each option using only one keystroke, according to standard 1-2-3
- practice. As desired, move between graph menus using the NextMenu
- and PrevMenu options.
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- Any graph can be sent to a printer by following the 1-2-3
- PrintGraph procedures.
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- 3. EXAMPLE - Strange Data
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- A file called TEST.WKS contains five sets of data. The BSTAT
- worksheet permits the data sets to be easily analyzed for their
- basic statistical properties and compared visually in order to
- determine possible inter-relationships. The following procedures
- might be used to investigate the information.
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- Keystroke Comments
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- {Enter} Press the ENTER key to select the first
- choice in the menu, i.e. Input.
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- 200 {Enter} Specify maximum number of observations.
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- /fcc {ENTER} test {ENTER}
- Use the 1-2-3 file/combine/copy/entire file
- keystroke combination to combine the
- information contained in the TEST.WKS file
- into the data ranges in the worksheet.
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- Alt-M Bring up the main menu.
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- c Select the Calc option.
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- r Select the Results option to examine the
- statistical properties of the ranges.
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- g Select the Graph option.
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- c or b Select Color or B&W(Monochrome) monitor
- setting.
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- 1 1Range option plots a graph of Range 1.
- Looks like a series of random numbers.
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- press any key Return to graph menu.
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- 2 2Range option plots a graph of Range 2. A
- curve.
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- press any key Return to graph menu.
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- 3 3Range option plots a graph of Range 3. A
- sine wave.
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- press any key Return to graph menu.
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- 4 4Range option plots a graph of Range 4.
- Another curve.
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- press any key Return to graph menu.
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- 5 5Range option plots a graph of Range 5. A
- strange pattern.
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- press any key Return to graph menu.
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- n Use NextMenu to select next menu.
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- b B13Range option plots a graph of Ranges 1 and
- 3.
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- press any key Return to graph menu.
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- nn Select graph menu beginning with A35Range.
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- a A35Range option plots a graph of Ranges 3 and
- 5.
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- press any key Return to graph menu.
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- nnnn Go to graph menu beginning with A1235Rge.
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- f F12345 option plots Ranges 1 through 5.
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- press any key Return to graph menu.
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- q Return to main menu.
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- q Exit to 1-2-3 READY mode.
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- {F5} c81 {ENTER} Use F5 function key (i.e. the 1-2-3 Go to
- command) to go to cell c81.
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- /re{end}{right}{end}{down}{ENTER}
- Erase the last 50 observations in each data
- range in order to concentrate on the first 50
- observations.
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- Alt-M Bring up the main menu.
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- c Select the Calc option.
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- g Select the Graph option.
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- c or b Select Color or B&W (Monochrome) monitor
- setting.
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- nnn Select graph menu beginning with A35Range.
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- a A35Range option plots a graph of Ranges 3 and
- 5.
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- press any key Return to graph menu.
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- nnnn Go to graph menu beginning with A1235Rge.
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- f F12345 option plots Ranges 1 through 5.
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- press any key Return to graph menu.
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- q Return to main menu.
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- 09/09/84 BSTAT - 6
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- Menu Tree for BSTAT Worksheet
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- Input - Input Data
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- Blank - Clear Input Fields
- . No - Cancel "Blank" Command
- . Yes - Yes, Erase all input
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- Calc - Calculate Results
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- Results - Show Results
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- Graph - Plot Graph(s) of Data or Results
- . Color - Print Graphs in Color (see PLOT1 Menu)
- . B&W - Print Graphs in Monochrome (see PLOT1 Menu)
- . Quit - Return to Menu
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- Print - Print Results
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- Agenda - Return to Worksheet Selection Agenda
- . No - Cancel Request. Do not erase worksheet
- . Yes - Erase Worksheet. Return to selection Agenda
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- Quit - Exit to 1-2-3 READY mode
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- PLOT1 Menu:
- . 1Range - Plot Range 1
- . 2Range - Plot Range 2
- . 3Range - Plot Range 3
- . 4Range - Plot Range 4
- . 5Range - Plot Range 5
- . 6Range - Plot Range 6
- . NextMenu - Go to next plot menu (see PLOT2 Menu)
- . Quit - Return to Menu
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- PLOT2 Menu:
- . A12Range - Plot Ranges 1 and 2
- . B13Range - Plot Ranges 1 and 3
- . C14Range - Plot Ranges 1 and 4
- . D15Range - Plot Ranges 1 and 5
- . E16Range - Plot Ranges 1 and 6
- . NextMenu - Go to next plot menu (see PLOT3 Menu)
- . PrevMenu - Return to previous menu (see PLOT1 Menu)
- . Quit - Return to Menu
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- PLOT3 Menu:
- . A23Range - Plot Ranges 2 and 3
- . B24Range - Plot Ranges 2 and 4
- . C25Range - Plot Ranges 2 and 5
- . D26Range - Plot Ranges 2 and 6
- . E34Range - Plot Ranges 3 and 4
- . NextMenu - Go to next plot menu (see PLOT4 Menu)
- . PrevMenu - Return to previous menu (see PLOT2 Menu)
- . Quit - Return to Menu
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- PLOT4 Menu:
- . A35Range - Plot Ranges 3 and 5
- . B36Range - Plot Ranges 3 and 6
- . C45Range - Plot Ranges 4 and 5
- . D46Range - Plot Ranges 4 and 6
- . E56Range - Plot Ranges 5 and 6
- . NextMenu - Go to next plot menu (see PLOT5 Menu)
- . PrevMenu - Return to previous menu (see PLOT3 Menu)
- . Quit - Return to Menu
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- PLOT5 Menu:
- . A123Rge - Plot Ranges 1, 2, and 3
- . B124Rge - Plot Ranges 1, 2, and 4
- . C125Rge - Plot Ranges 1, 2, and 5
- . D126Rge - Plot Ranges 1, 2, and 6
- . E134Rge - Plot Ranges 1, 3, and 4
- . NextMenu - Go to next plot menu (see PLOT6 Menu)
- . PrevMenu - Return to previous menu (see PLOT4 Menu)
- . Quit - Return to Menu
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- PLOT6 Menu:
- . A135Rge - Plot Ranges 1, 3, and 5
- . B136Rge - Plot Ranges 1, 3, and 6
- . C145Rge - Plot Ranges 1, 4, and 5
- . D146Rge - Plot Ranges 1, 4, and 6
- . E234Rge - Plot Ranges 2, 3, and 4
- . NextMenu - Go to next plot menu (see PLOT7 Menu)
- . PrevMenu - Return to previous menu (see PLOT5 Menu)
- . Quit - Return to Menu
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- PLOT7 Menu:
- . A235Rge - Plot Ranges 2, 3, and 5
- . B236Rge - Plot Ranges 2, 3, and 6
- . C345Rge - Plot Ranges 3, 4, and 5
- . D346Rge - Plot Ranges 3, 4, and 6
- . E456Rge - Plot Ranges 4, 5, and 6
- . F1234Rge - Plot Ranges 1, 2, 3, and 4
- . NextMenu - Go to next plot menu (see PLOT8 Menu)
- . Quit - Return to Menu
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- PLOT8 Menu:
- . A1235Rge - Plot Ranges 1, 2, 3, and 5
- . B1236Rge - Plot Ranges 1, 2, 3, and 6
- . C1345Rge - Plot Ranges 1, 3, 4, and 5
- . D1346Rge - Plot Ranges 1, 3, 4, and 6
- . E1456Rge - Plot Ranges 1, 4, 5, and 6
- . F12345Rge - Plot Ranges 1, 2, 3, 4, and 5
- . G123456Rg - Plot Ranges 1, 2, 3, 4, 5, and 6
- . Quit - Return to Menu
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- 09/09/84 BSTAT - 8
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