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  <front>
    <journal-meta>
      <journal-id journal-id-type="nlm-ta">Institute for Research and Community Services Universitas Muhammadiyah Palangkaraya</journal-id>
      <journal-id journal-id-type="publisher-id">.</journal-id>
      <journal-title>Institute for Research and Community Services Universitas Muhammadiyah Palangkaraya</journal-title><issn pub-type="ppub">2621-4814</issn><issn pub-type="epub">2621-4814</issn><publisher>
      	<publisher-name>Institute for Research and Community Services Universitas Muhammadiyah Palangkaraya</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.33084/bjop.v3i1.1236</article-id>
      <article-categories>
        <subj-group subj-group-type="heading">
          <subject>Research Article</subject>
        </subj-group>
        <subj-group><subject>Design of Experiments</subject><subject>Herbal product</subject><subject>Tea</subject><subject>Quality control</subject><subject>Moisture content</subject></subj-group>
      </article-categories>
      <title-group>
        <article-title>Design of Experiments Assessment for the Determination of Moisture Content in Five Herbal Raw Materials Contained in Tea Products</article-title><subtitle>Design of Experiments Assessment for the Determination of Moisture Content in Five Herbal Raw Materials Contained in Tea Products</subtitle></title-group>
      <contrib-group><contrib contrib-type="author">
	<name name-style="western">
	<surname>Castillo</surname>
		<given-names>Luis</given-names>
	</name>
	<aff>Laboratory of Phytopharmacology and Pharmaceutical Technology (LAFITEC), Institute of Pharmaceutical Research (INIFAR), Universidad de Costa Rica, San José, Costa Rica</aff>
	</contrib><contrib contrib-type="author">
	<name name-style="western">
	<surname>Baltodano</surname>
		<given-names>Eleaneth</given-names>
	</name>
	<aff>Laboratory of Biopharmacy and Pharmacokinetics (LABIOFAR), Institute of Pharmaceutical Research (INIFAR), Universidad de Costa Rica, San José, Costa Rica</aff>
	</contrib><contrib contrib-type="author">
	<name name-style="western">
	<surname>Ramírez</surname>
		<given-names>Nils</given-names>
	</name>
	<aff>Laboratory of Biopharmacy and Pharmacokinetics (LABIOFAR), Institute of Pharmaceutical Research (INIFAR), Universidad de Costa Rica, San José, Costa Rica</aff>
	</contrib><contrib contrib-type="author">
	<name name-style="western">
	<surname>Vargas</surname>
		<given-names>Rolando</given-names>
	</name>
	<aff>Laboratory of Biopharmacy and Pharmacokinetics (LABIOFAR), Institute of Pharmaceutical Research (INIFAR), Universidad de Costa Rica, San José, Costa Rica</aff>
	</contrib><contrib contrib-type="author">
	<name name-style="western">
	<surname>Hanley</surname>
		<given-names>Georgia</given-names>
	</name>
	<aff>Department of Industrial Pharmacy, Universidad de Costa Rica, San José, Costa Rica</aff>
	</contrib></contrib-group>		
      <pub-date pub-type="ppub">
        <month>02</month>
        <year>2020</year>
      </pub-date>
      <pub-date pub-type="epub">
        <day>27</day>
        <month>02</month>
        <year>2020</year>
      </pub-date>
      <volume>3</volume>
      <issue>1</issue>
      <permissions>
        <copyright-statement>© 2020 Luis Castillo, Eleaneth Baltodano, Nils Ramírez, Rolando Vargas, Georgia Hanley</copyright-statement>
        <copyright-year>2020</copyright-year>
        <license license-type="open-access" xlink:href="http://creativecommons.org/licenses/by-sa/4.0/"><p>This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.</p></license>
      </permissions>
      <related-article related-article-type="companion" vol="2" page="e235" id="RA1" ext-link-type="pmc">
			<article-title>Design of Experiments Assessment for the Determination of Moisture Content in Five Herbal Raw Materials Contained in Tea Products</article-title>
      </related-article>
	  <abstract abstract-type="toc">
		<p>
			Research interest in natural raw materials is rapidly growing due to the high demand for natural products like herbal teas. Their quality control has a direct impact on safety and efficacy. The aim of this study was to evaluate the impact of sample’s mass and temperature on moisture content in Camellia sinensis (Black tea), Cassia fistula (Senna), Chamaemelum nobile (Chamomille), Lippia alba (Juanilama) and Tilia platyphyllos (Linden) with a gravimetric method developed through a full factorial 32 DoE. A response optimizer was executed in order to establish the test conditions that allow obtaining a response according to a target value from a certified method. DoE’s ANOVA shows reproducibility for Camellia sinensis, Cassia fistula, and Lippia alba. Also, the method’s model is able to explain the response variability for all samples based on the R2 (adj). The composite desirability for the proposed conditions of analysis for the five herbal materials is satisfactory according to each target value. However, the lack of reproducibility in Chamaemelum nobile and Tilia platyphyllos and also, the response prediction problems according to the R2 (pred) for Cassia fistula and Chamaemelum nobile, suggest the execution of further studies for them. Therefore, the present method is considered to be adequate for the analysis of moisture content in Camellia sinensis and Lippia alba raw herbs.
		</p>
		</abstract>
    </article-meta>
  </front>
  <body><sec>
			<title>INTRODUCTION</title>
				<p >Currently, many plants and herbs
are used for the manufacture of natural products and for the synthesis of novel
medicines, due to their therapeutic properties. Herbal raw materials are used
almost by 80% of the world population, based on empiric knowledge or ancient
traditional medicine (Asghar et al., 2016; Orphanides et al.,
2013; Rodino &amp; Butu, 2019; Singh et al., 2019). The high demand and the fact
that herbs also contain toxic substances imply a critical role in quality
control of these raw materials, since natural products must fulfill quality,
safety and efficacy requirements (Carvalho et al.,
2018; Mukherjee, 2019a).</p><p >In 1998, the World Health
Organization (WHO) published the guideline ‘Quality Control Methods for
Medicinal Plant Materials’, which addresses the need of quality assurance for
natural raw materials with the aim of guaranteeing safety of herbal drug
products. According to this, not only a quantitative analysis of the active
compounds has to be done, but also a qualitative analysis in order to evaluate
physicochemical characteristics such as color, volatile compounds, ash values,
moisture content and even taste and aroma (Mandal et al., 2017; Mukherjee, 2019b; Sahoo et al., 2010; Thomas &amp; ElSohly, 2016; World Health
Organization, 1998).</p><p >In this paper, special attention
will be given to the moisture content analysis. This physicochemical test
provides relevant information on loss on drying and about the presence of an excessive
amount of water in the natural raw material, usually expressed as a percentage
by weight on a wet basis. Therefore, it is considered as one of the most
important parameters for the quality evaluation of crude materials and for the
prediction of the material’s shelf life, playing a fundamental role from a
stability perspective (Mora-Román et al., 2018a; Zambrano et al.,
2019). </p><p >In the manufacture of herbal drugs,
alimentary and natural products; the starting materials are usually represented
by fresh whole plants or their parts, which will face different manipulation
processes in order to make them a suitable input material. One of these
operations is the drying process. Direct drying methods, such as the
gravimetric method, determine the moisture content by weighing a sample before
and after drying, where all the weight loss is assumed to be explained by the
removal of water (Mukherjee,
2019b; Zambrano et al., 2019).</p><p >Poor quality control of plants or
dried simplicia from tropical and subtropical countries make them more
vulnerable to fungal contamination resulting in microbial toxins as well as
aflatoxins, which are well known for their carcinogenic activity. In addition
to that, excess of moisture in biological materials causes deterioration by
hydrolysis. Whereas moisture free crude drugs are more likely to overcome a
decomposition reaction, which allows safe storage over an extended period of
time and better stability. Since this kind of materials generally contain around
75 – 80% of water, some researches have reported that a successful preservation
can be achieved if the water levels are lowered until less than 13 – 15% (Cheng et
al., 2013; Kaur et
al., 2014; Mandal et al., 2017; Teles et
al., 2012). </p><p >However, when working with herbal
raw materials it is necessary to define how dry is dry enough. A perfect way of
achieving a target value is through Design of Experiments (DoE). Basically, DoE
is a statistical tool used for the organization, conduction and interpretation
of the results obtained through the execution of a small, but well designed,
number of tests, so that useful information can be collected in the most
efficient way (Zambrano et al., 2019).</p><p >The application of this multivariate analysis
technique requires the level establishment of the analyzed factors. Therefore,
the selection of an experimental design depends on the previous knowledge and
nature of the problem. Moreover, regarding their quality evaluation,
independent variables are usually factors of the analytical method, while
dependent variables are linked to the properties or parameters that reflect the
performance of the raw material or product. As a result, a well-executed study
can lead to the identification of the optimal conditions for the operation of a
certain process or the best method for an analysis (Djuris et al., 2013). </p><p >In the present study, we used DoE
to allow the collection and analysis of moisture content data right after the
drying process of Camellia sinensis
(Black tea), Cassia fistula (Senna), Chamaemelum nobile (Chamomille), Lippia alba (Juanilama) and Tilia platyphyllos (Linden) raw
materials used for the manufacture of herbal tea. The first herbal raw material
analyzed was Camellia sinensis, which
is of great interest for tea consumers due to its several health benefits
associated with protection against cardiovascular diseases, cognitive
performance improvement and body weight regulation. Another herb under study, Cassia fistula, exhibits
hepatoprotective, antipyretic and antioxidant activity. Chamaemelum nobile, is traditionally known for its antiseptic and antiinflammatory
properties. Lippia alba has several
uses in traditional medicine such as antispasmodic, antipyretic, among others.
Finally, Tilia platyphyllos is used
mostly for its tranquilizing and antiinflamatory properties (Blanco et al., 2013; Conde et
al., 2011; Guimarães et al., 2013; Li et al.,
2014; Martínez et al., 2009; Nunes et
al., 2018; Kumar et
al., 2017).</p><p >The aim of this study was to
evaluate the impact of sample’s mass and temperature on moisture content in the
five types of herbal raw material. The mentioned DoE consists in a 32 full factorial design, where it is intended to find the relationship between
the temperature of analysis and the required sample’s mass for the evaluation
of the parameter of interest in a moisture balance. In order to establish the
best analytical conditions, the effects of several combinations of the
mentioned factors on the moisture content were evaluated and the main effects
and interactions were identified for each crude material. Additionally, a
response optimizer was executed based on a moisture target value provided by a
private quality control laboratory with a certified gravimetric method, which
ensures the quality of the herbal raw materials for the manufacture of a
physicochemical stable product.</p>
			</sec><sec>
			<title>MATERIALS AND METHODS</title>
				<p ><bold>Materials</bold></p><p >For the execution
of this study it was decided to evaluate the moisture content of the five
herbal raw materials shown in <bold>Table I</bold>, that are commonly used in Costa Rica for the manufacture of herbal
teas.</p><p ><bold>Table I. </bold>Herbal raw materials</p><table-wrap><label>Table</label><table>
 <tr>
  <td>Raw material</td>
  
  <td>Batch</td>
  
 </tr>
 <tr>
  <td>Camellia sinensis (Black tea)</td>
  
  <td>52009</td>
  
 </tr>
 <tr>
  <td>Cassia fistula (Senna)</td>
  
  <td>17-01451-1</td>
  
 </tr>
 <tr>
  <td>Chamaemelum nobile (Chamomille)</td>
  
  <td>362018</td>
  
 </tr>
 <tr>
  <td>Lippia alba (Juanilama)</td>
  
  <td>ME694</td>
  
 </tr>
 <tr>
  <td>Tilia platyphyllos (Linden)</td>
  
  <td>M711</td>
  
 </tr>
</table></table-wrap><p ><bold>Equipment</bold></p><p >Dryer/Blender: In-house designed. This machine is made up of an air heating furnace,
a drying chamber and net conveyors:</p><p >1.
Capacity :
100 kg</p><p >2.
Maximum hot air temperature : 90 - 100°C</p><p >Moisture balance: OHAUS® MB120</p><p >1.
Capacity :
120 g</p><p >2.
Precision :
0.001 g</p><p >3.
Moisture range :
0.01 – 100%</p><p >4.
Heating technology : Halogen</p><p >5.
Temperature range : 40 – 230°C</p><p ><bold>Drying/blending phase</bold></p><p >For each herbal
raw material, the dryer was filled to approximately a 60% of its capacity. The
operational procedure was according to the in-house method, which establishes a
hot air temperature below 90°C and a drying time of 7 hours.</p><p ><bold>Design of experiments</bold></p><p >The DoE was done according to the following:</p><p >1.
Controlled variables: Drying process and equipment,
moisture balance, analyst and raw materials’ batches.</p><p >2.
Non-controlled variables: Previous storage time
of the raw materials, initial moisture content, environmental conditions, tests
days, and time for the determination of the moisture content in the balance.</p><p >3.
Input variables and their respective levels: Moisture balance’s temperature (100, 115, and 130°C) and sample’s mass
(1, 2, and 3 g).</p><p >4.
Output variable: Moisture content (%).</p><p >5.
Type of design: 32 full factorial
design. The nine treatment combinations for this type of design are shown in
the following <bold>Table II</bold>.</p><p ><bold>Table II. </bold>Organization of the
treatments evaluated through the DoE</p><table-wrap><label>Table</label><table>
 <tr>
  <td>Treatment</td>
  
  <td>Sample’s mass (g)</td>
  
  <td>Temperature (°C)</td>
  
 </tr>
 <tr>
  <td>1</td>
  
  <td>1</td>
  
  <td>100</td>
  
 </tr>
 <tr>
  <td>2</td>
  
  <td>1</td>
  
  <td>115</td>
  
 </tr>
 <tr>
  <td>3</td>
  
  <td>1</td>
  
  <td>130</td>
  
 </tr>
 <tr>
  <td>4</td>
  
  <td>2</td>
  
  <td>100</td>
  
 </tr>
 <tr>
  <td>5</td>
  
  <td>2</td>
  
  <td>115</td>
  
 </tr>
 <tr>
  <td>6</td>
  
  <td>2</td>
  
  <td>130</td>
  
 </tr>
 <tr>
  <td>7</td>
  
  <td>3</td>
  
  <td>100</td>
  
 </tr>
 <tr>
  <td>8</td>
  
  <td>3</td>
  
  <td>115</td>
  
 </tr>
 <tr>
  <td>9</td>
  
  <td>3</td>
  
  <td>130</td>
  
 </tr>
</table></table-wrap><p >6.
Repetitions: Three for each treatment.</p><p >7.
Runs: twenty-seven for each herbal raw
material.</p><p >8.
Planning and organization of the experimental work: After the drying process, herbal raw materials were transferred to
containers under controlled temperature and moisture conditions. Samples for
the determination of the moisture content had to be taken from a same container
and weighed with 95% accuracy. The analysis of the 27 samples was randomized.</p><p >9.
Results interpretation: The
statistical analysis of the results was done using Minitab 19® software,
through a one-way ANOVA (analysis of variance) for the means of the factors
under study (Ho: The means are the same, Ha: At least one of the means is
significantly different), whose level of significance was 95% (α = 0.05).
Factors that significantly influenced the response variable (P value &lt; 0.05)
where identified as well as the presented interactions. The verification of the
ANOVA assumptions (normality, constant variance and independence of the
residuals) compliance was carried out by using graphical methods. A response
optimizer was executed, based on a moisture target value for each herbal raw
material, provided by a private quality control laboratory with a gravimetric
drying method for human consumption products, certified under the standard of
INTE-ISO/IEC 17025:2017.</p>
			</sec><sec>
			<title>RESULTS AND DISCUSSION</title>
				<p >Pharmaceutical analysis is an important approach to
develop novel analytical and control methodologies for the quality assessment
of herbal products. In pharmaceutical and food industries such as the tea one,
DoE represents a great tool for the manipulation of factors, facilitating the
establishment of specifications based on the results obtained (Djuris et al., 2013; Yang &amp; Deng, 2016).</p><p >As mentioned previously, the selection of an
experimental design depends mainly on the nature of the problem and prior
knowledge of the phenomenon. However, the design is strongly related to the
level of information that is desired to obtain. Every model whether mechanistic
or data-based, implies a finite number of factors or input variables related to
a response of a certain parameter under study. Therefore, the most common way
of obtaining insight of the output variable of interest is by designing and
conducting experiments, where a series of observations and measurements lead to
the collection of important data (Mukkula &amp; Paulen, 2019; Gutiérrez-Pulido &amp; De la Vara Salazar, 2008; Reichert et al., 2019).</p><p >Moreover, optimal experimental designs are
particularly important in these sciences, since they allow to identify
combinations of factors for a proper estimate of the parameters of a model or
system. In other words, they can lead to an optimum profile response by
selecting the best set of processing conditions. The present DoE is conceived
as a 32 full factorial design. The presence of a third level for two
continuous factors helps to determine a quadratic relationship between the
response and both input variables (Harbourne et al., 2009; Mead et al., 2012; Wagner Jr. et al., 2014).</p><p >Despite the number
of runs to measure, error will always be present in any study. As the results
obtained through the analysis of natural raw materials are influenced in some
degree by noise or uncontrolled variables, there must be a strategy for the
minimization of the effects caused by them. That’s why randomization was employed
in this study, because it allows a better statistical distribution of the error
attributable to those factors among the results (Castillo-Henríquez et al., 2019a; Mead et al., 2012; Reichert et al., 2019).</p><p ><bold>Preliminary aspects</bold></p><p >The main objective
of this DoE was to establish the best conditions for the determination of the
moisture content in herbal raw materials, based on a target value. However, in
order to discuss the developed DoE, it must be addressed based on the previous
operations that led to the definition of the input variables and the response
of interest, even though those processes are not part of the design. The
investigation’s flow diagram is presented in <bold>Figure 1</bold>.</p><p ><bold>Figure 1.</bold> Investigation’s flow diagram</p><p >As can be seen in the flow diagram presented in <bold>Figure 1</bold>, initially we have the
drying and blending process. Drying is the most critical operation since it has
been found that many of the enzymes responsible of the decomposition of natural
raw materials are able to survive this process. Also, moisture in herbal drugs
causes the reactivation of enzymes, resulting into the loss of active compounds
and representing a risk for human health due to fungal proliferation. Some
investigations state that above 55°C it is possible to inactive the
enzymes. Therefore, in this step it is vital to reduce the moisture content
level below the limits established for the raw material in the official
pharmacopoeias, such as the United States Pharmacopoeia (USP), Mexican
Herbalist Pharmacopoeia, or Indian Ayurvedic. However, drying temperature can’t
be too high (more than 130°C), otherwise antioxidant components
and herbs’ physical attributes may be affected (Mora-Román et al., 2018b; Steinhoff, 2019; Vargas &amp; Vecchietti, 2016).</p><p >Drying process is not only correlated to safety,
but it is also strongly linked to the stability of the pigments or colors from
the crude drugs. As a result of that, we chose to work with temperatures from
100-130°C in the moisture balance, so we can measure the variable of interest
and determine if this is a significant factor, without burning the sample or
causing a great loss of volatile substances (Krempski-Smejda et al., 2015; Mizukami et al., 2006; Toontom et al., 2012).</p><p >On the other hand,
blending has a great impact on the homogeneity of moisture distribution among
the whole crude drug that is being processed. That is explained basically
because only the region that is in contact with the heated air flow is
suffering the removal of moisture or water, while the other sections are stuck
to each other and are transferring their moisture. In addition to that,
individual parts of herbs used for the manufacture of tea products vary in
shape, size and consistency, so it is reasonable to find differences in terms
of moisture content. As a consequence, we addressed that situation by analyzing
three different amounts of mass consisting of 1, 2, and 3 g, with the aim of
determining whether this factor is significant, and to reduce waste as well (Chan et al., 2012; Fomeni, 2018; Schinabeck et al., 2019).</p><p ><bold>Analysis of variance</bold></p><p >Now that the study factors are defined, the DoE’s
main statistical method for the evaluation of their effects and interactions on
the desired response is the ANOVA. It is useful for determining whether a term
has a significant effect on the output or not. In ANOVA, the random error term
accounts for the rest of the effects that can’t be explained (Gutiérrez-Pulido
&amp; De la Vara Salazar, 2008; Harbourne et al., 2009; Mukherjee, 2019c).</p><p >Nevertheless, in order to do the previous, it is
necessary to analyze the P value. This statistic allows to evaluate the
significance of the experiment. It indicates the probability that the effect
caused by a factor or another term is exclusively due to a random event.
However, the smaller it gets means that it is less likely to be explained by a
random chance, thus it becomes more significant. For the present DoE the level
of significance used was 0.05. In this model, when a significant difference is
detected for the block term, means that an average value from a determine
treatment was statistically different among each replica (Gutiérrez-Pulido
&amp; De la Vara Salazar, 2008; Harbourne
et al., 2009). </p><p >The ANOVA’s
validity of the results is subjected to the compliance of the model
assumptions: normality, equality of variances and independence of residuals. In
order to guarantee that, DoE’s basic principles were applied: replication,
randomization and blocking. The assumptions are commonly verified through the
residuals which are generated by the difference between the observed response
and the one predicted by the model in each experiment. Also, their verification
could need analytical tests, but graphical methods, such as the ones presented
in this paper, are accepted as well (Castillo-Henríquez et al., 2019b; Gutiérrez-Pulido &amp; De la Vara Salazar, 2008). Analysis of variance’s summary for moisture content evaluated in
herbal raw materials under study is presented in <bold>Table III</bold>, while residual plots for moisture
content in Camellia sinensis, Cassia
fistula, Chamaemelum nobile, Lippia alba, and Tilia platyphyllos are presented in <bold>Figure 2</bold> to <bold>6</bold>, respectively.</p><p ><bold>Table III. </bold>Analysis of variance’s summary for moisture content
evaluated in herbal raw materials under study</p>

<table-wrap><label>Table</label><table>
 <tr>
  <td>Term</td>
  
  <td>P value</td>
  
 </tr>
 <tr>
  
  <td>Camellia sinensis</td>
  
  <td>Cassia fistula</td>
  
  <td>Chamaemelum nobile</td>
  
  <td>Lippia alba</td>
  
  <td>Tilia platyphyllos</td>
  
 </tr>
 <tr>
  <td>Blocks</td>
  
  <td>0.101</td>
  
  <td>0.992</td>
  
  <td>0.011</td>
  
  <td>0.737</td>
  
  <td>0.003</td>
  
 </tr>
 <tr>
  <td>Sample’s mass</td>
  
  <td>0.000</td>
  
  <td>0.005</td>
  
  <td>0.001</td>
  
  <td>0.000</td>
  
  <td>0.000</td>
  
 </tr>
 <tr>
  <td>Temperature</td>
  
  <td>0.000</td>
  
  <td>0.000</td>
  
  <td>0.000</td>
  
  <td>0.000</td>
  
  <td>0.000</td>
  
 </tr>
 <tr>
  <td>Sample’s mass * Temperature</td>
  
  <td>0.003</td>
  
  <td>0.561</td>
  
  <td>0.516</td>
  
  <td>0.755</td>
  
  <td>0.043</td>
  
 </tr>
</table></table-wrap>

<p ><bold>Figure 2.</bold> Residual plots for moisture content in Camellia sinensis</p><p ><bold>Figure
3.</bold>
Residual plots for moisture content in Cassia
fistula</p><p ><bold>Figure
4.</bold>
Residual plots for moisture content in Chamaemelum
nobile</p><p ><bold>Figure
5.</bold>
Residual plots for moisture content in Lippia
alba</p><p ><bold>Figure 6.</bold> Residual plots for moisture content in Tilia platyphyllos</p><p >In the first assumption residuals are expected to
follow a normal distribution with zero mean, which means that they tend to be
relatively aligned to the straight line. If that behavior is not observed in
the graphical method, then the assumption is not satisfied. The second one
indicates that the residuals of each treatment have the same variance and it is
graphically verified if the points are randomly distributed when the predicted
values are located on the x-axis and the residuals are on the y-axis. The third
and final assumption states that residuals are independent of each other. The
previous can be corroborated by representing the order in which a sample was
collected or analyzed, against its respective residual. In such situation, if a
pattern is shown when plotting the observation order on the independent axis
and the residuals on the dependent axis, then there is a correlation between
the errors which clearly doesn’t meet the assumption. As can be seen in <bold>Figure 2</bold> to <bold>6</bold>, all the experiments
fulfill the requirements of the ANOVA (Castillo-Henríquez et al., 2019b; Gutiérrez-Pulido &amp; De la Vara Salazar, 2008).</p><p >At this point is important to make reference to the
graphical definition of effect of a factor and the main effect. A factor’s
effect is conceived as the change observed in the response variable due to a
level change in the factor. On the other hand, the main effect is equal to the
average response observed at the highest level of a factor minus the average
response at the lowest one (Djuris et al.,
2013; Lin et al., 2011). The relationship curve of sample's mass and temperature's main
effects plot for moisture content in Camellia
sinensis, Cassia fistula, Chamaemelum nobile, Lippia alba, and Tilia platyphyllos are presented in <bold>Figure 7</bold>.</p><p ><bold>Figure 7.</bold> Sample’s mass and temperature’s main effects plot for
moisture content in (<bold>a</bold>) Camellia sinensis, (<bold>b</bold>) Cassia fistula, (<bold>c</bold>) Chamaemelum
nobile, (<bold>d</bold>) Lippia alba, and (<bold>e</bold>) Tilia platyphyllos</p><p ><bold>Figure 7</bold> shows the main effects diagram for the moisture content in herbal raw
materials under study, where the factors’ levels are located in the horizontal
axis and the average of the response observed according to each level is in the
vertical. According to that figure, in all cases temperature has the main
effect on the moisture content mean since the difference in its average
responses is greater than the one from sample’s mass.</p><p >The first herbal raw material analyzed was Camellia sinensis. In this case as can
be seen in <bold>Table III</bold>, blocks are not significant, so the method for this herbal represents a
good reproducibility. In contrast, both factors and the interaction between
them have values lower than 0.05, thus they are significant. However, for
situations like this when an interaction is presented, no matter how many terms
are statistically different; the interaction is the one that will govern the
effect on the response. Whereas, it is said that two factors interact
significantly on the response variable when the effect of one depends on the
level at which the other one is (Lin et al., 2015; Megías-Pérez et al., 2019).</p><p >According to the ANOVA on <bold>Table III</bold>, only the sample’s mass and
temperature are significant terms in Cassia
fistula’s model, where no interaction between the factors and the response
was detected. On the other hand, Chamaemelum
nobile presented a P value for both factors under study below 0.05, so they
are significant. Additionally, the blocks’ term is also significant, which
means that the method is not reproducible in this herbal raw material (Gutiérrez-Pulido
&amp; De la Vara Salazar, 2008).</p><p >The analysis for Lippia alba revealed a significance for
both factors; sample’s mass and temperature of analysis. The last ANOVA
executed for the evaluation of moisture content in Tilia platyphyllos considers all the terms as statistically
different. Therefore, the method does not show reproducibility when using this
herbal material, like it happened with Chamaemelum
nobile. In addition to that, the interaction between the factors will
overshadow the effect on the moisture content from the individual ones (Castillo-Henríquez
et al., 2019b).</p><p ><bold>Response optimizer</bold></p><p >Although ANOVA is the central statistical method,
DoE counts with another tool which is the Response optimizer. This function
helps to identify the configuration values of the factors that when combined,
can optimize an individual response or a set of responses through a
minimization, a maximization or a predefined target value for the output. It is
especially useful for this study, since it allows to evaluate the impact of the
sample’s mass and temperature on the moisture content and then indicates the
most proper treatment to carry out the method of analysis (Gutiérrez-Pulido
&amp; De la Vara Salazar, 2008; Reichert et al., 2019).</p><p >When the optimization is based on a target, upper
and lower limits have to be defined. For that purpose, we used the uncertainty
from the results of the reference values provided by a private quality control
laboratory. However, it is important to take into consideration that these
limits affect the composite desirability, which is a parameter that evaluates
the way in which the proposed model configuration optimizes a response. The
composite desirability has a range of 0-1, where 1 represents the ideal
situation, while 0 indicates that the output variable is outside of the
acceptable limits (Gutiérrez-Pulido &amp; De la Vara Salazar, 2008; Reichert et al., 2019).</p><p >An important
factor to take into consideration in the optimization design is the weight;
this determines how the composite desirability is distributed in the interval
between the lower or upper limit and the target value. It is possible to choose
between 0.1, 1, or 10. A value lower than 1 means that less emphasis is placed
on the target value, 1 is the neutral configuration which gives the same
importance to the target and to the limits and finally, a value higher than 1
emphasizes more on the objective which makes difficult to achieve the
optimization. Since the present study involves natural raw materials, there’s a
certain variability that can’t be controlled, so we worked with a weight of 1 (Mead et al., 2012; Wagner Jr. et al., 2014). The summary of DoE’s results is presented in <bold>Table IV</bold>.</p><p ><bold>Table IV. </bold>Summary of DoE’s
results</p>

<table-wrap><label>Table</label><table>
 <tr>
  <td>Sample</td>
  
  <td>Target</td>
  
  <td>Treatment</td>
  
  <td>Moisture content (%)</td>
  
  <td>CI 95%</td>
  
  <td>Composite desirability</td>
  
 </tr>
 <tr>
  <td>Camellia sinensis</td>
  
  <td>3.99 ± 0.19</td>
  
  <td>1 g; 100°C</td>
  
  <td>3.90</td>
  
  <td>3.59; 4.16</td>
  
  <td>0.8756</td>
  
 </tr>
 <tr>
  <td>Cassia fistula</td>
  
  <td>8.87 ± 0.42</td>
  
  <td>2 g; 100°C</td>
  
  <td>8.97</td>
  
  <td>8.64; 9.30</td>
  
  <td>0.7698</td>
  
 </tr>
 <tr>
  <td>Chamaemelum nobile</td>
  
  <td>7.77 ± 0.38</td>
  
  <td>1 g; 115°C</td>
  
  <td>7.76</td>
  
  <td>7.45; 8.08</td>
  
  <td>0.9825</td>
  
 </tr>
 <tr>
  <td>Lippia alba</td>
  
  <td>9.98 ± 0.49</td>
  
  <td>1 g; 115°C</td>
  
  <td>9.98</td>
  
  <td>9.70; 10.26</td>
  
  <td>1.0000</td>
  
 </tr>
 <tr>
  <td>Tilia platyphyllos</td>
  
  <td>8.42 ± 0.40</td>
  
  <td>1 g; 115°C</td>
  
  <td>8.42</td>
  
  <td>8.17; 8.67</td>
  
  <td>1.0000</td>
  
 </tr>
</table></table-wrap>

<p >As can be seen in <bold>Table IV</bold>, it was possible to
define the most proper treatment for all the herbal raw, for which the
composite desirability presents values greater than 0.70. Moreover, for Lippia alba and Tilia platyphyllos a value of 1.0000 was reached, representing a
complete fulfillment of the target value and the established limits. The table
also shows the expected moisture content under the proposed conditions of
analysis based on the best treatment and the respective confidence interval for
the response. The relationship curve of moisture content (%) as a function of
the balance’s temperature (°C) and sample’s mass (g) of Camellia sinensis, Cassia fistula,
Chamaemelum nobile, Lippia alba, and
Tilia platyphyllos are presented in <bold>Figure 8</bold>.</p><p ><bold>Figure 8.</bold> Moisture content (%) as a function of the balance’s
temperature (°C) and sample’s mass (g) of (<bold>a</bold>) Camellia
sinensis, (<bold>b</bold>) Cassia fistula, (<bold>c</bold>) Chamaemelum nobile, (<bold>d</bold>) Lippia
alba, and (<bold>e</bold>) Tilia platyphyllos</p><p ><bold>Figure 8</bold> shows the response surface of
moisture content (%) as a function of the balance’s temperature and sample’s
mass for the five herbal materials. This geometrical representation of the
response has a center point included for each independent variable along the
highest and lowest point, which required three experiments for each output or
independent variable (Wagner Jr. et al.,
2014).</p><p ><bold>Model summary</bold></p><p >The correlation
coefficient (R2) and the adjusted correlation coefficient (R2
adj) allow to measure the overall quality of the regression model. These
coefficients make a comparison of the variability explained by the model
against the total variation. In general, for prediction purposes a R2
adj of at least 70% is recommended. Such statistic is preferred over the R2
because the latter is falsely increased with each term incorporated into the
model (Arvidsson &amp; Gremyr, 2008). Detailed information
about the model summary is presented in <bold>Table V</bold>.</p><p ><bold>Table V. </bold>Model summary</p><table-wrap><label>Table</label><table>
 <tr>
  <td>Term</td>
  
  <td>Camellia sinensis</td>
  
  <td>Cassia fistula</td>
  
  <td>Chamaemelum nobile</td>
  
  <td>Lippia alba</td>
  
  <td>Tilia platyphyllos</td>
  
 </tr>
 <tr>
  <td>R2 (%)</td>
  
  <td>94.47</td>
  
  <td>82.77</td>
  
  <td>85.86</td>
  
  <td>92.66</td>
  
  <td>97.11</td>
  
 </tr>
 <tr>
  <td>R2 (adj) (%)</td>
  
  <td>91.02</td>
  
  <td>72.00</td>
  
  <td>77.03</td>
  
  <td>88.07</td>
  
  <td>95.30</td>
  
 </tr>
 <tr>
  <td>R2 (pred) (%)</td>
  
  <td>84.26</td>
  
  <td>50.93</td>
  
  <td>59.74</td>
  
  <td>79.10</td>
  
  <td>91.76</td>
  
 </tr>
</table></table-wrap><p >According to <bold>Table V</bold>, all of the R2 adj are
good enough to make predictions about the variability of the model. However,
the further to a 100%, the more the model is explained by the noise variables.
For example, for Cassia fistula a
72.00% of the moisture content variability can be explained by the model while
the rest 28.00% is attributed to the forces that cause deviation from target.</p><p >In addition to that, <bold>Table V</bold> shows a predictive coefficient of
determination (R2 pred) which allows to make predictions on the response.
In order to do that, it is preferred to have a value that is at least 70%.
Regarding that, response prediction can only be done for Camellia sinensis, Lippia alba, and Tilia platyphyllos. In the case of Cassia fistula and Chamaemelum
nobile, their inability to predict a response may be due to the following
reasons (Arvidsson &amp; Gremyr, 2008):</p><p >1.
The studied factors do not have the
capacity to explain the variations observed in the output or response variable.</p><p >2.
The levels used to study the factors
are too narrow, so the effect on the response when changing from one level to
another is small.</p><p >3.
Factors not studied in the
experiment were not kept sufficiently controlled, causing that variation.</p><p >4.
The experimental and measurement
errors were low, but still present.</p>
			</sec><sec>
			<title>CONCLUSION</title>
				<p >The worldwide expansion in
production and use of natural products like herbal teas has made their quality,
efficacy and safety a major concern for the health authorities. As a result,
pharmaceutical analysis introduces itself as a solution for the development of
novel quality assessment and control methods. The gravimetric method developed
through a DoE for the evaluation of the moisture content, showed
reproducibility for Camellia sinensis,
Cassia fistula, and Lippia alba.
An adequate approximation to the target value based on the composite
desirability was done for the five herbal materials and the confidence interval
for their response was established in order to guarantee a physicochemical
parameter for stability. However, the lack of reproducibility in Chamaemelum nobile and Tilia platyphyllos and also, the
response prediction problems according to the R2 (pred) for Cassia fistula and Chamaemelum nobile, suggest the execution of further studies for
them. Therefore, the present method is considered to be adequate for the
analysis of moisture content in Camellia
sinensis and Lippia alba raw
herbs, for which a robust experimental design is recommended as a final step
before its approval.</p>
			</sec><sec>
			<title>ACKNOWLEDGMENT</title>
				<p >No potential conflict of interest
was reported by the authors.</p>
			</sec><sec>
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