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Difference between revisions of "Manuals/calci/EXPONENTIALSMOOTHING"

(Created page with "<div id="6SpaceContent" class="zcontent" align="left"> '''EXPONENTIALSMOOTHING'''(Array, DampingFactor, NewTableFlag) where, '''Array '''- Input range should be one...")
 
 
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<div id="6SpaceContent" class="zcontent" align="left">
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<div style="font-size:25px">'''EXPONENTIALSMOOTHING(Array, DampingFactor, ShowChart, ShowStandardErrorOptions, NewTableFlag)'''</div><br/>
  
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'''EXPONENTIALSMOOTHING'''(Array, DampingFactor, NewTableFlag)
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*where, <math>Array</math> is the input array or reference to the cells containing array,
 +
*<math>DampingFactor</math> is a corrective factor that minimizes the instability of data,
 +
*<math>ShowChart</math> is a logical value that decides whether to display a chart,
 +
*<math>ShowStandardErrorOptions</math> is a logical value that decides whether to calculate standard errors,
 +
*<math>NewTableFlag</math> is a logical value that decides whether to display the output in the same worksheet or a new space cube.
 +
**EXPONENTIALSMOOTHING(), Smooths data, weighting more recent data heavier.
  
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where,
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== Description ==
  
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'''Array '''- Input range should be one or more blocks.
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EXPONENTIALSMOOTHING(Array, DampingFactor, ShowChart, ShowStandardErrorOptions, NewTableFlag)
  
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'''DampingFactor''' - is a corrective factor that minimizes the instability of data. '''NewTableFlag''' - is the TRUE or FALSE.If set as TRUE,the result in new sheet.If NewTableFlag is omitted, it assumed to be FALSE.
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*Exponential Smoothing is a technique that can be applied to a set of data, either to produce smoothed data for presentations, or to make forecasts.
 +
*<math>Array</math> should be array of numbers.
 +
*<math>DampingFactor</math> is the exponential smoothing constant referred as '''&alpha;'''. Value of '''&alpha;''' should be greater than '0'.
 +
*If <math>DampingFactor</math> &lt; 0, Calci displays #NULL error message.
 +
*Smaller the damping factor, more smoother are the projections.
 +
*If <math>DampingFactor</math> is omitted, Calci assumes it to be '0.3'.
 +
*<math>ShowChart</math> can be a logical value TRUE or FALSE. If omitted, Calci assumes it to be FALSE.
 +
*<math>ShowStandardErrorOptions</math> can be a logical value TRUE or FALSE. If omitted, Calci assumes it to be FALSE.
 +
*<math>NewTableFlag</math> can be a logical value TRUE or FALSE. If omitted, Calci assumes it to be FALSE.
 +
*If <math>NewTableFlag</math> is TRUE, the result is displayed on new zspace sheet.
  
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</div>
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==ZOS==
−
----
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*The syntax is to use this function in ZOS is <math>EXPONENTIALSMOOTHING (Array,DampingFactor,ShowChart, ShowStandardErrorOptions,NewTableFlag)</math>
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<div id="1SpaceContent" class="zcontent" align="left">Exponential Smoothing schemes weight past observations using exponentially decreasing weights.</div>
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*For e.g.,EXPONENTIALSMOOTHING([10,12.3,18,9.4,22,39,45,51,29],0.5,true,false,true)
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----
 
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<div id="7SpaceContent" class="zcontent" align="left">
 
  
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If DampingFactor &lt; 0, EXPONENTIALSMOOTHING returns the #ERROR.
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== Examples ==
 +
Consider the following table with Columns A as data point and Column B as array input for EXPONENTIALSMOOTHING() function.
  
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</div>
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<div id="2SpaceContent" class="zcontent" align="left">
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----
 
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<div id="12SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="left">
 
  
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EXPONENTIAL SMOOTHING
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{| id="TABLE3" class="SpreadSheet blue"
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|- class="even"
 +
| class="sshl_f" | '''Period'''
 +
| class=" " | '''Array Input'''
 +
| class=" " |
  
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</div></div>
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|- class="odd"
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----
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| class="sshl_f" |
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<div id="8SpaceContent" class="zcontent" align="left">
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| class=" " |
 +
| class=" " |
  
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Lets see an example in (Column3, Row3)
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|- class="even"
 +
| class="sshl_f" | 0
 +
| class=" " |0
 +
| class=" " |
  
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<nowiki>=EXPONENTIALSMOOTHING(R1C1:R6C2, 0.2, TRUE)</nowiki>
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|- class="odd"
 +
| class="sshl_f" | 1
 +
| class=" " |45.5
 +
| class=" " |
  
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It returns the result in new sheet(5Sapce).
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|- class="even"
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| class="sshl_f" | 2
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| class=" " |60
 +
| class=" " |
  
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<nowiki>=EXPONENTIALSMOOTHING(R1C1:R3C2,-1, TRUE)</nowiki>
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|- class="odd"
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| class="sshl_f" | 3
 +
| class=" " |200
 +
| class=" " |
  
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It returns the #ERROR(DampingFactor =-1).
 
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</div>
 
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----
 
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<div id="10SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Syntax </div><div class="ZEditBox"><center></center></div></div>
 
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----
 
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<div id="4SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Remarks </div></div>
 
−
----
 
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<div id="3SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Examples </div></div>
 
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----
 
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<div id="11SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Description </div></div>
 
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----
 
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<div id="2SpaceContent" class="zcontent" align="left">
 
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{| id="TABLE3" class="SpreadSheet blue"
 
 
|- class="even"
 
|- class="even"
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| class="sshl_f" | 4
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| class=" " |160
 
| class=" " |
 
| class=" " |
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| Column1
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−
| Column2
 
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| class="  " | Column3
 
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| Column4
 
 
|- class="odd"
 
|- class="odd"
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| class=" " | Row1
 
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| class=" " | 1
 
−
| class=" " | 3
 
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| class="  " | 4
 
 
| class="sshl_f" | 5
 
| class="sshl_f" | 5
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| class=" " |300
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| class=" " |
 +
 
|- class="even"
 
|- class="even"
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| class=" " | Row2
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| class="sshl_f" | 6
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| class=" " | 7
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| class=" " |340
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| class=" " | 8
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| class=" " |
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| class=" " | 9
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| class="sshl_f" | 128
 
 
|- class="odd"
 
|- class="odd"
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| Row3
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| class="sshl_f" | 7
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| class=" " | 12
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| class=" " |310
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| class=" " | 5
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| class=" " |
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| class="sshl_f" | 5Space
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| class="sshl_f    " | 15
 
 
|- class="even"
 
|- class="even"
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| Row4
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| class="sshl_f" | 8
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| class=" " | 17
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| class=" " |500
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| class=" " | 18
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| class=" " |
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| class="sshl_f  " | 10000
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| class="  " | 20
 
 
|- class="odd"
 
|- class="odd"
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| class=" " | Row5
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| class="sshl_f" | 9
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| class=" " | 37
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| class=" " |566
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| class=" " | 31
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| class=" " |
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| class="sshl_f" | #ERROR
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| 168
 
 
|- class="even"
 
|- class="even"
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| Row6
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| class="sshl_f" | 10
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| class=" " | 6
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| class=" " |610
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| class=" " | 8
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| class=" " |
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| class=" SelectTD1 ChangeBGColor SelectTD1" |
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<div id="2Space_Handle" class="zhandles" title="Click and Drag to resize CALCI Column/Row/Cell. It is EZ!"></div><div id="2Space_Copy" class="zhandles" title="Click and Drag over to AutoFill other cells."></div><div id="2Space_Drag" class="zhandles" title="Click and Drag to Move/Copy Area.">[[Image:copy-cube.gif]]  </div>1.619775
 
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| 0.525322
 
 
|}
 
|}
  
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<div align="left">[[Image:calci1.gif]]</div></div>
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=EXPONENTIALSMOOTHING(B3:B13, 0.2, TRUE, FALSE, TRUE) returns the below table followed by the chart output:
−
----
+
 
 
<div id="5SpaceContent" class="zcontent" align="left">
 
<div id="5SpaceContent" class="zcontent" align="left">
  
 
{| class="SpreadSheet blue"
 
{| class="SpreadSheet blue"
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|+ <br />EXPONENTIAL SMOOTHING
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|+ <br />EXPONENTIALSMOOTHING
 
|- class="even"
 
|- class="even"
 
! Input
 
! Input
 
! Output
 
! Output
 
|- class="odd"
 
|- class="odd"
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| 1
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| 0
 
| null
 
| null
 
|- class="even"
 
|- class="even"
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| 7
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| 45.5
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| 1
+
| 0
 
|- class="odd"
 
|- class="odd"
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| 12
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| 60
−
| 5.800000000000001
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| 36.4
 
|- class="even"
 
|- class="even"
−
| 17
+
| 200
−
| 10.760000000000001
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| 55.28
 
|- class="odd"
 
|- class="odd"
−
| 37
+
| 160
−
| 15.752000000000002
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| 171.056
 
|- class="even"
 
|- class="even"
−
| 6
+
| 300
−
| 32.7504
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| 162.21120000000002
 
|- class="odd"
 
|- class="odd"
−
| 3
+
| 340
−
| 11.350080000000002
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| 272.44224
 
|- class="even"
 
|- class="even"
−
| 8
+
| 310
−
| 4.670016
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| 326.488448
 
|- class="odd"
 
|- class="odd"
−
| 5
+
| 500
−
| 7.334003200000001
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| 313.2976896
 
|- class="even"
 
|- class="even"
−
| 18
+
| 566
−
| 5.466800640000001
+
| 462.65953792
 
|- class="odd"
 
|- class="odd"
−
| 31
+
| 610
−
| 15.493360128
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| 545.331907584
−
|- class="even"
 
−
| 8
 
−
| 27.8986720256
 
 
|}
 
|}
  
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</div>
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==Related Videos==
−
----
+
 
 +
{{#ev:youtube|0r5pK8mlcXM|280|center|EXPONENTIAL SMOOTHING}}
 +
 
 +
== See Also ==
 +
 
 +
*[[Manuals/calci/HISTOGRAM | HISTOGRAM]]
 +
*[[Manuals/calci/MOVINGAVERAGE | MOVINGAVERAGE]]
 +
 
 +
== References ==
 +
 
 +
*[http://en.wikipedia.org/wiki/Exponential_smoothing Exponential Smoothing]
 +
 
 +
 
 +
 
 +
*[[Z_API_Functions | List of Main Z Functions]]
 +
 
 +
*[[ Z3 |  Z3 home ]]

Latest revision as of 16:05, 10 August 2018

EXPONENTIALSMOOTHING(Array, DampingFactor, ShowChart, ShowStandardErrorOptions, NewTableFlag)


  • where, is the input array or reference to the cells containing array,
  • is a corrective factor that minimizes the instability of data,
  • is a logical value that decides whether to display a chart,
  • is a logical value that decides whether to calculate standard errors,
  • is a logical value that decides whether to display the output in the same worksheet or a new space cube.
    • EXPONENTIALSMOOTHING(), Smooths data, weighting more recent data heavier.

Description

EXPONENTIALSMOOTHING(Array, DampingFactor, ShowChart, ShowStandardErrorOptions, NewTableFlag)

  • Exponential Smoothing is a technique that can be applied to a set of data, either to produce smoothed data for presentations, or to make forecasts.
  •   should be array of numbers.
  •   is the exponential smoothing constant referred as α. Value of α should be greater than '0'.
  • If   < 0, Calci displays #NULL error message.
  • Smaller the damping factor, more smoother are the projections.
  • If   is omitted, Calci assumes it to be '0.3'.
  •   can be a logical value TRUE or FALSE. If omitted, Calci assumes it to be FALSE.
  •   can be a logical value TRUE or FALSE. If omitted, Calci assumes it to be FALSE.
  •   can be a logical value TRUE or FALSE. If omitted, Calci assumes it to be FALSE.
  • If   is TRUE, the result is displayed on new zspace sheet.

ZOS

  • The syntax is to use this function in ZOS is  
  • For e.g.,EXPONENTIALSMOOTHING([10,12.3,18,9.4,22,39,45,51,29],0.5,true,false,true)

Examples

Consider the following table with Columns A as data point and Column B as array input for EXPONENTIALSMOOTHING() function.

Period Array Input
0 0
1 45.5
2 60
3 200
4 160
5 300
6 340
7 310
8 500
9 566
10 610 
=EXPONENTIALSMOOTHING(B3:B13, 0.2, TRUE, FALSE, TRUE) returns the below table followed by the chart output:

EXPONENTIALSMOOTHING
Input Output
0 null
45.5 0
60 36.4
200 55.28
160 171.056
300 162.21120000000002
340 272.44224
310 326.488448
500 313.2976896
566 462.65953792
610 545.331907584

Related Videos

EXPONENTIAL SMOOTHING

See Also

References


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