1b24ed10-441e-4001-b3ee-afc4568fcfb6 21 Alvaro Diaz Falconi 4 5 false false 0 decimal

Box Plot

M# pBox M M# eval : P 0 : A 01 matrix eval : B A : 14 mat x Fd n 1 x length range : ans n x augment eval 12 findrows : (0 ≡ 0 ans 1 col if 21 line : x Md n x length : 0.5 n * trunc 0.5 n * ≡ 0.5 x 0.5 n * el x 0.5 n * 1 + el + (* x 0.5 n 1 + (* el if 21 line : k 1 M cols range y M k col : length 1 ≡ y y 1 el sort : y y sort : if A B 12 mat A y min stack min B y max stack max 12 mat eval : Q2 y Md : s 6 k 1 - (* : 12 mat F y Q2 < vectorize Fd : (0 ≡ Q1 Q2 : Q1 y F el Md : if F y Q2 > vectorize Fd : (0 ≡ Q3 Q2 : Q3 y F el Md : if 12 mat O y Q1 1.5 Q3 Q1 - (* - < (y Q3 1.5 Q3 Q1 - (* + > (| vectorize Fd : O 0 ≡ P s 3 + el : P s 3 + el k 0.5 - y O el x augment : y O el Q2 : 21 line if a b 12 mat y min y max 12 mat eval : P s 1 + el k 0.7 - a k 0.3 - a k 0.5 - a k 0.5 - Q1 k 0.8 - Q1 k 0.8 - Q3 k 0.5 - Q3 72 mat k 0.5 - b 12 mat k 0.7 - b k 0.3 - b k 0.5 - b k 0.5 - Q3 k 0.2 - Q3 k 0.2 - Q1 k 0.5 - Q1 72 mat stack eval : P s 2 + el k 0.8 - Q2 k 0.2 - Q2 22 mat : P s 46 range + el : 101 line for p 0.05 B A - (* : sys P s 6 + el 0 A p - 0 B p + k B p + k A p - 0 A p - 52 mat : num2str 4 substr concat str2num 61 line :

Find utility

Median

Quartil

Outliers

Boxes

M pBox5 P mat M pBox num2str 4 substr concat str2num : F min q1 q2 q3 max 15 mat : k 1 P rows 6 / range m n f P 6 k 1 - (* m + el n 2 el : F F 11 f 14 f 21 f 16 f 18 f 15 mat stack eval : 21 line for F 41 line :

Examples

a b rnd a b a - (109 -^* 109^random * + 11 line : X 30010 matrix : n 1 X length range : X X n el 2 - 12 rnd : eval : 12 mat Add\0020\some\0020\outliers n 120 range : X X n el 16 - 2 - rnd : eval : 12 mat n 2140 range : X X n el 1226 rnd : eval : 12 mat 61 line

X pBox

X pBox5 min q1 q2 q3 max 4.15 - 1.08 5.44 9.07 16.64 1.96 - 1.73 5.05 8.33 17.55 1.97 - 1.47 4.85 8.17 11.98 9.84 - 0.95 3.73 8.45 15.49 7.04 - 2.36 5.19 8.78 13.59 4.27 - 1.15 4.92 8.55 12.33 7.28 - 1.77 4.97 8.69 14.38 8.08 - 1.3 5.11 8.8 14.81 5.72 - 1.52 5.28 8.52 16.46 1.91 - 1.18 4.6 8.29 14.71 115 mat

pBox5 returns the 'five numbers summary' of the data, where min & max are without outliers.

It also accept data with different lengths. To do this, save the data to be plotted in each line of a vector.

n 1 X cols range : M 1 n el X 1100150 rnd range n el : 21 line

M pBox

M rows vectorize 132106143108130139121148122109110 mat

M pBox5 min q1 q2 q3 max 11.17 - 0.65 5.37 9.14 16.64 9.03 - 1.74 4.6 9.19 19.94 1.79 - 1.6 4.82 8.68 11.98 1.98 - 1.11 4.2 8.3 15.49 1.98 - 2.72 5.4 8.91 13.59 4.27 - 0.7 5.56 8.96 12.33 7.28 - 1.65 4.32 8.69 14.38 8.08 - 1.65 5.33 8.85 14.81 5.72 - 1.26 6.29 9.2 16.46 1.75 - 1.18 4.63 7.91 14.71 115 mat

Boxplot of Michelson's data: speed of light - 299000 km/s vs Experiment. Each experiment have 20 runs.

MM 8509608808908907409408808108409009608808107801070940860820810930880720800760850800720770810950850620760790980880860740810980900970750820880840950760850100083088091087098079091092087093081085089081065088087086074076088084088081081083084072094010008008508409501000790840850800960760840850810960800840780870205 mat : co c km s / / 299000 - : 21 line

MM pBox co 4 1 sys

MM pBox5 min q1 q2 q3 max 740850940980107076080084589096084084085588091072076581587092074078081087095065 mat

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