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The portable hydroponic system

                                                                    parameters  and operating  modes  of the  improved
                (xiv)   b − Y 0   is the deviation from the predicted value,  portable  hydroponic  NFT  unit  to  ensure  maximum
                        0
                (xv)   S is the reproducibility dispersion.         efficiency in plant growth and development. The results
                         2
                         y
                  The calculated value t  was then compared to the   obtained from the implementation of the experimental
                                       d
                critical value from the statistical  tables,  selected   matrix are presented in Table 3.
                                                       24
                based on the significance level of α = 0.05 and degrees   The  experimental  data  were  processed  using  the
                                                                                                                    24
                of freedom f   =  N.  If  the  inequality,  |b | <  |Δb |  was   STATISTICA  12  software  package  (StatSoft,  USA),
                                                           i
                                                    i
                            t
                satisfied, the corresponding factor was considered for   which was  used to construct statistical  mathematical
                reassessment, particularly regarding the possibility   models for the following response variables: Y  (plant
                                                                                                              1
                of  adjusting  its  variation  interval.  In  such  a  case,   height), Y (time to reach the baby leaf stage), Y (fresh
                                                                                                               3
                                                                             2
                all  relevant  experiments  were  repeated.  If,  after   weight), and Y  (number of leaves).
                                                                                 4
                reassessment,  the  coefficient  continued  to  meet  the   The resulting regression equations are as follows:
                same  condition,  it  was  concluded  that  the  influence   Y 3.46+0.16x  + 0.26x  + 0.66x  + 0.01x x  + 0.01x x
                                                                                                         1 3
                                                                                                                   1 2

                                                                                                 3
                                                                                         2
                                                                      =
                                                                                  1

                of the factor  x   on  the  optimization  parameter  was   + 0.01x x  + 0.01x x                  (XI)
                                                                                     1 2X3
                                                                           2 3
                              i
                statistically insignificant Y.                      Y  = 14.5 – 0.5x – 1.0x  – 2.0x             (XII)
                                       i
                  The purpose of interpreting the resulting statistical   2       1     2      3
                model  is  to  analyze  the  influence  of  factors  on  the   Y  = 0.95 + 0.05x  + 0.1x  + 0.2x 3   (XIII)
                                                                     3
                                                                                   1
                                                                                          2
                optimization criterion. The degree of influence of each   Y  = 5.625 + 0.375x  + 0.875x  + 1.875x  + 0.125x x  +
                                                                     4
                                                                                               2
                                                                                      1
                                                                                                                 1 2
                factor was assessed based on the value and sign of the   0.125x x  + 0.125x x  + 0.125x x x  3  (XIV)
                corresponding regression coefficient b . A positive sign   1 3       2 3       1 2 3
                                                  i
                (+) indicates that an increase in the factor x  leads to   The  significance  of  the  obtained  regression
                                                        i
                an  increase  in  the  optimization  parameter  Y, while  a   coefficients  was  evaluated  using  Student’s  t-test. For
                                                        i
                negative sign (−) indicates that an increase in x  results   a reliability level (P ) of 0.95 and degrees of freedom
                                                                                      H
                                                          i
                in a decrease in Y.                                 f = 7, the tabulated t-value is t = 2.365. 23
                               i
                                                                       After  verification,  simplified  regression  equations
                3. Results and discussion                           for Y , Y , Y , and Y were obtained:
                                                                         1
                                                                           2
                                                                              3
                                                                                     4
                                                                    Y (plant height): Y  = 3.46 + 0.16x  + 0.26x  + 0.66x 3
                                                                                                    1
                                                                                     1
                                                                     1
                                                                                                            2
                A central compositional matrix plan 2  was established                                          (XV)
                                                 3
                to evaluate the effects of several factors, including the   Y (time to reach baby leaf stage: Y  = 14.5 − 0.5x  –
                                                                                                                  1
                EM-5 concentrate, air and nutrient solution temperature,   1.0x  – 2.0x             2           (XVI)
                                                                     2
                and  nutrient  solution  concentration.  In  addition,  the   2  3
                experiment  was  performed  to  identify  the  optimal   Y  (fresh weight): Y  = 0.95 + 0.1x  + 0.2x    (XVII)
                                                                     3               3            1      3
                 Table 3. Results obtained from the implementation of the experimental planning matrix 2 3
                 Number of                       Factors                                     Criteria
                 experiment     Effective     Air and nutrient   Nutrient     Plant  Time to reach   Fresh   Number
                            microorganisms‑5     solution        solution     height  the baby leaf   weight   of leaves
                             concentrate (%)  temperature (°C)  concentration   (cm)  stage (days)    (g)    (pieces)
                                                                 (mS/cm)
                                   x 1              x 2             x 3         Y 1       Y 2         Y 3      Y 4
                 1                 0                18              0.5        2.4        18          0.6       3
                 2                 2                18              0.5        2.8        17          0.7       3
                 3                 0                26              0.5        3.0        16          0.8       4
                 4                 2                26              0.5        3.3        15          0.9       5
                 5                 0                18              2.5        3.6        14          1.0       6
                 6                 2                18              2.5        4.0        13          1.1       7
                 7                 0                26              2.5        4.2        12          1.2       8
                 8                 2                26              2.5        4.4        11          1.3       9
                Volume 22 Issue 3 (2025)                       191                           doi: 10.36922/AJWEP025170132
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